612972360000 has 3360 divisors, whose sum is σ = 3115392255360. Its totient is φ = 117573120000.

The previous prime is 612972359969. The next prime is 612972360041. The reversal of 612972360000 is 63279216.

612972360000 is a `hidden beast` number, since 6 + 1 + 29 + 7 + 23 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×612972360000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 47151719994 + ... + 47151720006.

It is an arithmetic number, because the mean of its divisors is an integer number (927200076).

Almost surely, 2^612972360000 is an apocalyptic number.

612972360000 is a gapful number since it is divisible by the number (60) 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 612972360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557696127680).

612972360000 is an abundant number, since it is smaller than the sum of its proper divisors (2502419895360).

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

612972360000 is an equidigital number, since it uses as much as digits as its factorization.

612972360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 612972360000 in words is "six hundred twelve billion, nine hundred seventy-two million, three hundred sixty thousand".