10624642560 has 480 divisors, whose sum is σ = 43915180320. Its totient is φ = 2427715584.

The previous prime is 10624642531. The next prime is 10624642601. The reversal of 10624642560 is 6524642601.

10624642560 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 4 + 642 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10624642560² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385312 + ... + 3388448.

It is an arithmetic number, because the mean of its divisors is an integer number (91489959).

Almost surely, 2^10624642560 is an apocalyptic number.

10624642560 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 10624642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21957590160).

10624642560 is an abundant number, since it is smaller than the sum of its proper divisors (33290537760).

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

10624642560 is an equidigital number, since it uses as much as digits as its factorization.

10624642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 1062464 and 2560, that added together give a square (1065024 = 1032²).

The spelling of 10624642560 in words is "ten billion, six hundred twenty-four million, six hundred forty-two thousand, five hundred sixty".