77764129632 has 144 divisors (see below), whose sum is σ = 266035311360. Its totient is φ = 21048926976.

The previous prime is 77764129627. The next prime is 77764129661. The reversal of 77764129632 is 23692146777.

77764129632 is a `hidden beast` number, since 77 + 76 + 412 + 96 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 976788 + ... + 1053395.

It is an arithmetic number, because the mean of its divisors is an integer number (1847467440).

Almost surely, 2^77764129632 is an apocalyptic number.

77764129632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77764129632 is an abundant number, since it is smaller than the sum of its proper divisors (188271181728).

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

77764129632 is a wasteful number, since it uses less digits than its factorization.

77764129632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030225 (or 2030214 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 77764129632 in words is "seventy-seven billion, seven hundred sixty-four million, one hundred twenty-nine thousand, six hundred thirty-two".