612913279968 has 864 divisors, whose sum is σ = 2053920540672. Its totient is φ = 172972800000.

The previous prime is 612913279961. The next prime is 612913280003. The reversal of 612913279968 is 869972319216.

612913279968 is a `hidden beast` number, since 612 + 9 + 1 + 3 + 2 + 7 + 9 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×612913279968² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612913279961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4678727263 + ... + 4678727393.

It is an arithmetic number, because the mean of its divisors is an integer number (2377222848).

Almost surely, 2^612913279968 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 612913279968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026960270336).

612913279968 is an abundant number, since it is smaller than the sum of its proper divisors (1441007260704).

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

612913279968 is a wasteful number, since it uses less digits than its factorization.

612913279968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 612913279968 in words is "six hundred twelve billion, nine hundred thirteen million, two hundred seventy-nine thousand, nine hundred sixty-eight".