10306680960 has 64 divisors (see below), whose sum is σ = 32852551680. Its totient is φ = 2748447744.

The previous prime is 10306680941. The next prime is 10306680977. The reversal of 10306680960 is 6908660301.

It is a happy number.

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

It is a super-2 number, since 2×10306680960² (a number of 21 digits) contains 22 as substring.

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, 2682112 + ... + 2685951.

It is an arithmetic number, because the mean of its divisors is an integer number (513321120).

Almost surely, 2^10306680960 is an apocalyptic number.

10306680960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10306680960 is an abundant number, since it is smaller than the sum of its proper divisors (22545870720).

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

10306680960 is an equidigital number, since it uses as much as digits as its factorization.

10306680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368085 (or 5368073 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 10306680960 in words is "ten billion, three hundred six million, six hundred eighty thousand, nine hundred sixty".