10309864320 has 384 divisors, whose sum is σ = 40894476480. Its totient is φ = 2344550400.

The previous prime is 10309864307. The next prime is 10309864321. The reversal of 10309864320 is 2346890301.

10309864320 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 9 + 8 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10309864321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9716590 + ... + 9717650.

Almost surely, 2^10309864320 is an apocalyptic number.

10309864320 is a gapful number since it is divisible by the number (10) 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 10309864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447238240).

10309864320 is an abundant number, since it is smaller than the sum of its proper divisors (30584612160).

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

10309864320 is a wasteful number, since it uses less digits than its factorization.

10309864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10309864320 in words is "ten billion, three hundred nine million, eight hundred sixty-four thousand, three hundred twenty".