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640716257280 = 21135112971777
BaseRepresentation
bin10010101001011011010…
…10100011100000000000
32021020210121200020021010
421110231222203200000
540444141330213110
61210201353000520
764201355220321
oct11245552434000
92236717606233
10640716257280
112277a9695300
12a42126b3140
134855b221b38
1423021a1c448
15119ee689020
hex952daa3800

640716257280 has 576 divisors, whose sum is σ = 2277585142560. Its totient is φ = 153637355520.

The previous prime is 640716257273. The next prime is 640716257287. The reversal of 640716257280 is 82752617046.

It is an interprime number because it is at equal distance from previous prime (640716257273) and next prime (640716257287).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640716257287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360559752 + ... + 360561528.

Almost surely, 2640716257280 is an apocalyptic number.

640716257280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640716257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138792571280).

640716257280 is an abundant number, since it is smaller than the sum of its proper divisors (1636868885280).

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

640716257280 is a wasteful number, since it uses less digits than its factorization.

640716257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 640716257280 in words is "six hundred forty billion, seven hundred sixteen million, two hundred fifty-seven thousand, two hundred eighty".