77212564704 has 72 divisors (see below), whose sum is σ = 239534443512. Its totient is φ = 23397745920.

The previous prime is 77212564691. The next prime is 77212564783. The reversal of 77212564704 is 40746521277.

77212564704 is a `hidden beast` number, since 7 + 7 + 2 + 12 + 564 + 70 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77212564704.

It is a congruent number.

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, 12183159 + ... + 12189494.

It is an arithmetic number, because the mean of its divisors is an integer number (3326867271).

Almost surely, 2^77212564704 is an apocalyptic number.

It is an amenable number.

77212564704 is an abundant number, since it is smaller than the sum of its proper divisors (162321878808).

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

77212564704 is a wasteful number, since it uses less digits than its factorization.

77212564704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24372680 (or 24372669 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 77212564704 in words is "seventy-seven billion, two hundred twelve million, five hundred sixty-four thousand, seven hundred four".