12939564672 has 320 divisors, whose sum is σ = 40189501440. Its totient is φ = 4128122880.

The previous prime is 12939564647. The next prime is 12939564697. The reversal of 12939564672 is 27646593921.

12939564672 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 9 + 564 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (12939564647) and next prime (12939564697).

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

Its product of digits (4898880) is a multiple of the sum of its prime divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40818658 + ... + 40818974.

It is an arithmetic number, because the mean of its divisors is an integer number (125592192).

Almost surely, 2^12939564672 is an apocalyptic number.

12939564672 is a gapful number since it is divisible by the number (12) 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 12939564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20094750720).

12939564672 is an abundant number, since it is smaller than the sum of its proper divisors (27249936768).

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

12939564672 is a wasteful number, since it uses less digits than its factorization.

12939564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

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

The spelling of 12939564672 in words is "twelve billion, nine hundred thirty-nine million, five hundred sixty-four thousand, six hundred seventy-two".