10392730656 has 648 divisors, whose sum is σ = 37940782320. Its totient is φ = 2474841600.

The previous prime is 10392730639. The next prime is 10392730679. The reversal of 10392730656 is 65603729301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 335249361 + ... + 335249391.

It is an arithmetic number, because the mean of its divisors is an integer number (58550590).

Almost surely, 2^10392730656 is an apocalyptic number.

10392730656 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 10392730656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970391160).

10392730656 is an abundant number, since it is smaller than the sum of its proper divisors (27548051664).

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

10392730656 is a wasteful number, since it uses less digits than its factorization.

10392730656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 10392730656 in words is "ten billion, three hundred ninety-two million, seven hundred thirty thousand, six hundred fifty-six".