77965811191632 has 640 divisors, whose sum is σ = 269457349181440. Its totient is φ = 18844664463360.

The previous prime is 77965811191579. The next prime is 77965811191673. The reversal of 77965811191632 is 23619111856977.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10684635408 + ... + 10684642704.

It is an arithmetic number, because the mean of its divisors is an integer number (421027108096).

Almost surely, 2^{77965811191632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77965811191632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134728674590720).

77965811191632 is an abundant number, since it is smaller than the sum of its proper divisors (191491537989808).

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

77965811191632 is a wasteful number, since it uses less digits than its factorization.

77965811191632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531 (or 11525 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 66.

The spelling of 77965811191632 in words is "seventy-seven trillion, nine hundred sixty-five billion, eight hundred eleven million, one hundred ninety-one thousand, six hundred thirty-two".