65857307264 has 128 divisors (see below), whose sum is σ = 152622126720. Its totient is φ = 27724677120.

The previous prime is 65857307261. The next prime is 65857307281. The reversal of 65857307264 is 46270375856.

It is a happy number.

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 (65857307261) 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, 11904179 + ... + 11909709.

It is an arithmetic number, because the mean of its divisors is an integer number (1192360365).

Almost surely, 2^65857307264 is an apocalyptic number.

65857307264 is a gapful number since it is divisible by the number (64) 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 65857307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76311063360).

65857307264 is an abundant number, since it is smaller than the sum of its proper divisors (86764819456).

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

65857307264 is a wasteful number, since it uses less digits than its factorization.

65857307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 53.

The spelling of 65857307264 in words is "sixty-five billion, eight hundred fifty-seven million, three hundred seven thousand, two hundred sixty-four".