10306792320 has 128 divisors (see below), whose sum is σ = 35839601280. Its totient is φ = 2498611200.

The previous prime is 10306792277. The next prime is 10306792333. The reversal of 10306792320 is 2329760301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10306792320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 222886 + ... + 265125.

It is an arithmetic number, because the mean of its divisors is an integer number (279996885).

Almost surely, 2^10306792320 is an apocalyptic number.

10306792320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10306792320 is an abundant number, since it is smaller than the sum of its proper divisors (25532808960).

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

10306792320 is a wasteful number, since it uses less digits than its factorization.

10306792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488044 (or 488032 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 10306792320 in words is "ten billion, three hundred six million, seven hundred ninety-two thousand, three hundred twenty".