6372979074576 has 135 divisors (see below), whose sum is σ = 18096339657487. Its totient is φ = 2093699415360.

The previous prime is 6372979074481. The next prime is 6372979074587. The reversal of 6372979074576 is 6754709792736.

The square root of 6372979074576 is 2524476.

It is a perfect power (a square), and thus also a powerful number.

6372979074576 is a `hidden beast` number, since 63 + 7 + 29 + 7 + 90 + 7 + 457 + 6 = 666.

It is a super-2 number, since 2×6372979074576² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2150852071 + ... + 2150855033.

Almost surely, 2^{6372979074576} is an apocalyptic number.

6372979074576 is the 2524476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6372979074576

6372979074576 is an abundant number, since it is smaller than the sum of its proper divisors (11723360582911).

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

6372979074576 is an frugal number, since it uses more digits than its factorization.

6372979074576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 840157920, while the sum is 72.

The spelling of 6372979074576 in words is "six trillion, three hundred seventy-two billion, nine hundred seventy-nine million, seventy-four thousand, five hundred seventy-six".