10256609664 has 256 divisors, whose sum is σ = 34733529600. Its totient is φ = 2918799360.

The previous prime is 10256609647. The next prime is 10256609681. The reversal of 10256609664 is 46690665201.

10256609664 is a `hidden beast` number, since 10 + 25 + 6 + 609 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10256609647) and next prime (10256609681).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7426254 + ... + 7427634.

It is an arithmetic number, because the mean of its divisors is an integer number (135677850).

Almost surely, 2^10256609664 is an apocalyptic number.

10256609664 is a gapful number since it is divisible by the number (14) 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 10256609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366764800).

10256609664 is an abundant number, since it is smaller than the sum of its proper divisors (24476919936).

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

10256609664 is a wasteful number, since it uses less digits than its factorization.

10256609664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10256609664 in words is "ten billion, two hundred fifty-six million, six hundred nine thousand, six hundred sixty-four".