77664128832 has 224 divisors, whose sum is σ = 248625360000. Its totient is φ = 23679516672.

The previous prime is 77664128827. The next prime is 77664128879. The reversal of 77664128832 is 23882146677.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911344 + ... + 992912.

Almost surely, 2^77664128832 is an apocalyptic number.

77664128832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77664128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124312680000).

77664128832 is an abundant number, since it is smaller than the sum of its proper divisors (170961231168).

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

77664128832 is a wasteful number, since it uses less digits than its factorization.

77664128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81638 (or 81622 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 77664128832 in words is "seventy-seven billion, six hundred sixty-four million, one hundred twenty-eight thousand, eight hundred thirty-two".