10072640256 has 144 divisors (see below), whose sum is σ = 30880948224. Its totient is φ = 2855043072.

The previous prime is 10072640239. The next prime is 10072640261. The reversal of 10072640256 is 65204627001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675376 + ... + 690128.

Almost surely, 2^10072640256 is an apocalyptic number.

10072640256 is a gapful number since it is divisible by the number (16) 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 10072640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440474112).

10072640256 is an abundant number, since it is smaller than the sum of its proper divisors (20808307968).

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

10072640256 is a wasteful number, since it uses less digits than its factorization.

10072640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14906 (or 14892 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 10072640256 in words is "ten billion, seventy-two million, six hundred forty thousand, two hundred fifty-six".