77577042994632 has 64 divisors (see below), whose sum is σ = 218219530272000. Its totient is φ = 25531685030592.

The previous prime is 77577042994613. The next prime is 77577042994679. The reversal of 77577042994632 is 23649924077577.

77577042994632 is a `hidden beast` number, since 7 + 7 + 5 + 7 + 70 + 4 + 2 + 99 + 463 + 2 = 666.

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, 2273103043 + ... + 2273137170.

It is an arithmetic number, because the mean of its divisors is an integer number (3409680160500).

Almost surely, 2^{77577042994632} is an apocalyptic number.

77577042994632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77577042994632 is an abundant number, since it is smaller than the sum of its proper divisors (140642487277368).

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

77577042994632 is a wasteful number, since it uses less digits than its factorization.

77577042994632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546240307 (or 4546240297 counting only the distinct ones).

The product of its (nonzero) digits is 1120210560, while the sum is 72.

The spelling of 77577042994632 in words is "seventy-seven trillion, five hundred seventy-seven billion, forty-two million, nine hundred ninety-four thousand, six hundred thirty-two".