10323690624 has 256 divisors, whose sum is σ = 33518016000. Its totient is φ = 3108298752.

The previous prime is 10323690607. The next prime is 10323690631. The reversal of 10323690624 is 42609632301.

10323690624 is a `hidden beast` number, since 1 + 0 + 3 + 23 + 6 + 9 + 0 + 624 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2109172 + ... + 2114060.

It is an arithmetic number, because the mean of its divisors is an integer number (130929750).

Almost surely, 2^10323690624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759008000).

10323690624 is an abundant number, since it is smaller than the sum of its proper divisors (23194325376).

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

10323690624 is a wasteful number, since it uses less digits than its factorization.

10323690624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 10323690624 in words is "ten billion, three hundred twenty-three million, six hundred ninety thousand, six hundred twenty-four".