10364979456 has 432 divisors, whose sum is σ = 34641384960. Its totient is φ = 3035750400.

The previous prime is 10364979439. The next prime is 10364979461. The reversal of 10364979456 is 65497946301.

10364979456 is a `hidden beast` number, since 10 + 3 + 6 + 497 + 94 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169917666 + ... + 169917726.

Almost surely, 2^10364979456 is an apocalyptic number.

10364979456 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 10364979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17320692480).

10364979456 is an abundant number, since it is smaller than the sum of its proper divisors (24276405504).

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

10364979456 is an equidigital number, since it uses as much as digits as its factorization.

10364979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 10364979456 in words is "ten billion, three hundred sixty-four million, nine hundred seventy-nine thousand, four hundred fifty-six".