612907646976 has 192 divisors, whose sum is σ = 1797079798800. Its totient is φ = 201246769152.

The previous prime is 612907646957. The next prime is 612907647007. The reversal of 612907646976 is 679646709216.

612907646976 is a `hidden beast` number, since 6 + 12 + 90 + 7 + 6 + 469 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19743595 + ... + 19774613.

Almost surely, 2^612907646976 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 612907646976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898539899400).

612907646976 is an abundant number, since it is smaller than the sum of its proper divisors (1184172151824).

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

612907646976 is an equidigital number, since it uses as much as digits as its factorization.

612907646976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31122 (or 31091 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 612907646976 in words is "six hundred twelve billion, nine hundred seven million, six hundred forty-six thousand, nine hundred seventy-six".