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640735950976 = 27114727533517
BaseRepresentation
bin10010101001011101101…
…01101011100010000000
32021020211222201202221021
421110232311223202000
540444211400412401
61210203335035224
764202014502332
oct11245665534200
92236758652837
10640735950976
11227809816490
12a421920bb14
1348562328a04
14230244a7452
1511a012792a1
hex952ed6b880

640735950976 has 128 divisors (see below), whose sum is σ = 1423057455360. Its totient is φ = 284862382080.

The previous prime is 640735950971. The next prime is 640735951001. The reversal of 640735950976 is 679059537046.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (640735950971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182180770 + ... + 182184286.

It is an arithmetic number, because the mean of its divisors is an integer number (11117636370).

Almost surely, 2640735950976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640735950976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711528727680).

640735950976 is an abundant number, since it is smaller than the sum of its proper divisors (782321504384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640735950976 is a wasteful number, since it uses less digits than its factorization.

640735950976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 61.

The spelling of 640735950976 in words is "six hundred forty billion, seven hundred thirty-five million, nine hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 517 704 752 1034 1408 1504 2068 2753 3008 3517 4136 5506 6016 7034 8272 11012 14068 16544 22024 28136 30283 33088 38687 44048 56272 60566 66176 77374 88096 112544 121132 129391 154748 165299 176192 225088 242264 258782 309496 330598 352384 450176 484528 517564 618992 661196 969056 1035128 1237984 1322392 1423301 1818289 1938112 2070256 2475968 2644784 2846602 3636578 3876224 4140512 4951936 5289568 5693204 7273156 8281024 9682301 10579136 11386408 14546312 16562048 19364602 21158272 22772816 29092624 38729204 45545632 58185248 77458408 91091264 106505311 116370496 154916816 182182528 213010622 232740992 309833632 426021244 455068147 619667264 852042488 910136294 1239334528 1704084976 1820272588 3408169952 3640545176 5005749617 6816339904 7281090352 10011499234 13632679808 14562180704 20022998468 29124361408 40045996936 58248722816 80091993872 160183987744 320367975488 640735950976