10636456320 has 384 divisors, whose sum is σ = 42183348480. Its totient is φ = 2419200000.

The previous prime is 10636456297. The next prime is 10636456321. The reversal of 10636456320 is 2365463601.

10636456320 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 645 + 6 + 3 + 2 + 0 = 666.

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

It is a super-2 number, since 2×10636456320² (a number of 21 digits) contains 22 as substring.

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 (10636456321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10119795 + ... + 10120845.

It is an arithmetic number, because the mean of its divisors is an integer number (109852470).

Almost surely, 2^10636456320 is an apocalyptic number.

10636456320 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 10636456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21091674240).

10636456320 is an abundant number, since it is smaller than the sum of its proper divisors (31546892160).

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

10636456320 is a wasteful number, since it uses less digits than its factorization.

10636456320 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10636456320 in words is "ten billion, six hundred thirty-six million, four hundred fifty-six thousand, three hundred twenty".