10256577664 has 64 divisors (see below), whose sum is σ = 21118406400. Its totient is φ = 4956687360.

The previous prime is 10256577647. The next prime is 10256577691. The reversal of 10256577664 is 46677565201.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6264654 + ... + 6266290.

It is an arithmetic number, because the mean of its divisors is an integer number (329975100).

Almost surely, 2^10256577664 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 10256577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559203200).

10256577664 is an abundant number, since it is smaller than the sum of its proper divisors (10861828736).

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

10256577664 is a wasteful number, since it uses less digits than its factorization.

10256577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 10256577664 in words is "ten billion, two hundred fifty-six million, five hundred seventy-seven thousand, six hundred sixty-four".