10624839680 has 208 divisors, whose sum is σ = 31385815104. Its totient is φ = 3361996800.

The previous prime is 10624839623. The next prime is 10624839713. The reversal of 10624839680 is 8693842601.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×10624839680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1860830 + ... + 1866530.

Almost surely, 2^10624839680 is an apocalyptic number.

10624839680 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 10624839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692907552).

10624839680 is an abundant number, since it is smaller than the sum of its proper divisors (20760975424).

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

10624839680 is an equidigital number, since it uses as much as digits as its factorization.

10624839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 10624839680 in words is "ten billion, six hundred twenty-four million, eight hundred thirty-nine thousand, six hundred eighty".