67977360864 has 96 divisors (see below), whose sum is σ = 226591223040. Its totient is φ = 19422101376.

The previous prime is 67977360863. The next prime is 67977360887. The reversal of 67977360864 is 46806377976.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67977360863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5613774 + ... + 5625869.

It is an arithmetic number, because the mean of its divisors is an integer number (2360325240).

Almost surely, 2^67977360864 is an apocalyptic number.

It is an amenable number.

67977360864 is an abundant number, since it is smaller than the sum of its proper divisors (158613862176).

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

67977360864 is a wasteful number, since it uses less digits than its factorization.

67977360864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11239669 (or 11239655 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 67977360864 in words is "sixty-seven billion, nine hundred seventy-seven million, three hundred sixty thousand, eight hundred sixty-four".