77683673385504 has 96 divisors (see below), whose sum is σ = 226582872324480. Its totient is φ = 25893930182400.

The previous prime is 77683673385467. The next prime is 77683673385523. The reversal of 77683673385504 is 40558337638677.

It is a happy number.

77683673385504 is a `hidden beast` number, since 7 + 7 + 6 + 8 + 3 + 6 + 7 + 33 + 85 + 504 = 666.

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

It is a super-3 number, since 3×77683673385504³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (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 15 ways as a sum of consecutive naturals, for example, 35280774 + ... + 37417914.

It is an arithmetic number, because the mean of its divisors is an integer number (2360238253380).

Almost surely, 2^{77683673385504} is an apocalyptic number.

It is an amenable number.

77683673385504 is an abundant number, since it is smaller than the sum of its proper divisors (148899198938976).

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

77683673385504 is a wasteful number, since it uses less digits than its factorization.

77683673385504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179231 (or 2179217 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 72.

The spelling of 77683673385504 in words is "seventy-seven trillion, six hundred eighty-three billion, six hundred seventy-three million, three hundred eighty-five thousand, five hundred four".