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6440645764 = 2271925211223
BaseRepresentation
bin1011111111110010…
…00111010010000100
3121121212012201000201
411333321013102010
5101142301131024
62543033220244
7315414404620
oct57771072204
917555181021
106440645764
112805638543
1212b8b61684
137b846bac7
14451554180
1527a679744
hex17fe47484

6440645764 has 72 divisors (see below), whose sum is σ = 13632167808. Its totient is φ = 2607845760.

The previous prime is 6440645741. The next prime is 6440645797. The reversal of 6440645764 is 4675460446.

It is a super-2 number, since 2×64406457642 = 82963835714662287392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5265657 + ... + 5266879.

It is an arithmetic number, because the mean of its divisors is an integer number (189335664).

Almost surely, 26440645764 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 6440645764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816083904).

6440645764 is an abundant number, since it is smaller than the sum of its proper divisors (7191522044).

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

6440645764 is a wasteful number, since it uses less digits than its factorization.

6440645764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The square root of 6440645764 is about 80253.6339613354. The cubic root of 6440645764 is about 1860.5576779994.

The spelling of 6440645764 in words is "six billion, four hundred forty million, six hundred forty-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 521 532 722 1042 1223 1444 2084 2446 2527 3647 4892 5054 7294 8561 9899 10108 14588 17122 19798 23237 34244 39596 46474 69293 92948 138586 162659 188081 277172 325318 376162 441503 637183 650636 752324 883006 1274366 1316567 1766012 2548732 2633134 3090521 4460281 5266268 6181042 8920562 12106477 12362084 17841124 24212954 48425908 84745339 169490678 230023063 338981356 460046126 920092252 1610161441 3220322882 6440645764