12620613824 has 224 divisors, whose sum is σ = 31548604416. Its totient is φ = 4877107200.

The previous prime is 12620613787. The next prime is 12620613847. The reversal of 12620613824 is 42831602621.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83580149 + ... + 83580299.

It is an arithmetic number, because the mean of its divisors is an integer number (140841984).

Almost surely, 2^12620613824 is an apocalyptic number.

12620613824 is a gapful number since it is divisible by the number (14) 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 12620613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15774302208).

12620613824 is an abundant number, since it is smaller than the sum of its proper divisors (18927990592).

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

12620613824 is a wasteful number, since it uses less digits than its factorization.

12620613824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 12620613824 in words is "twelve billion, six hundred twenty million, six hundred thirteen thousand, eight hundred twenty-four".