12979734624 has 384 divisors, whose sum is σ = 41455411200. Its totient is φ = 3938457600.

The previous prime is 12979734619. The next prime is 12979734671. The reversal of 12979734624 is 42643797921.

12979734624 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 9 + 7 + 3 + 4 + 624 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58204977 + ... + 58205199.

It is an arithmetic number, because the mean of its divisors is an integer number (107956800).

Almost surely, 2^12979734624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12979734624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727705600).

12979734624 is an abundant number, since it is smaller than the sum of its proper divisors (28475676576).

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

12979734624 is a wasteful number, since it uses less digits than its factorization.

12979734624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 12979734624 in words is "twelve billion, nine hundred seventy-nine million, seven hundred thirty-four thousand, six hundred twenty-four".