977679134432 has 192 divisors, whose sum is σ = 2585787369984. Its totient is φ = 351417968640.

The previous prime is 977679134401. The next prime is 977679134437. The reversal of 977679134432 is 234431976779.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977679134437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65754263 + ... + 65769129.

It is an arithmetic number, because the mean of its divisors is an integer number (13467642552).

Almost surely, 2^977679134432 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 977679134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292893684992).

977679134432 is an abundant number, since it is smaller than the sum of its proper divisors (1608108235552).

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

977679134432 is a wasteful number, since it uses less digits than its factorization.

977679134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16961 (or 16953 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 62.

It can be divided in two parts, 977679 and 134432, that added together give a palindrome (1112111).

The spelling of 977679134432 in words is "nine hundred seventy-seven billion, six hundred seventy-nine million, one hundred thirty-four thousand, four hundred thirty-two".