610683964704 has 72 divisors (see below), whose sum is σ = 1894508218512. Its totient is φ = 185055745920.

The previous prime is 610683964673. The next prime is 610683964753. The reversal of 610683964704 is 407469386016.

610683964704 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 83 + 96 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96380034 + ... + 96386369.

It is an arithmetic number, because the mean of its divisors is an integer number (26312614146).

Almost surely, 2^610683964704 is an apocalyptic number.

It is an amenable number.

610683964704 is an abundant number, since it is smaller than the sum of its proper divisors (1283824253808).

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

610683964704 is a wasteful number, since it uses less digits than its factorization.

610683964704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192766430 (or 192766419 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 610683964704 in words is "six hundred ten billion, six hundred eighty-three million, nine hundred sixty-four thousand, seven hundred four".