77172428474960 has 320 divisors, whose sum is σ = 233144519462400. Its totient is φ = 23069664608256.

The previous prime is 77172428474929. The next prime is 77172428474971. The reversal of 77172428474960 is 6947482427177.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 45786056 + ... + 47441624.

It is an arithmetic number, because the mean of its divisors is an integer number (728576623320).

Almost surely, 2^{77172428474960} is an apocalyptic number.

77172428474960 is a gapful number since it is divisible by the number (70) 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 77172428474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116572259731200).

77172428474960 is an abundant number, since it is smaller than the sum of its proper divisors (155972090987440).

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

77172428474960 is a wasteful number, since it uses less digits than its factorization.

77172428474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655958 (or 1655952 counting only the distinct ones).

The product of its (nonzero) digits is 265531392, while the sum is 68.

The spelling of 77172428474960 in words is "seventy-seven trillion, one hundred seventy-two billion, four hundred twenty-eight million, four hundred seventy-four thousand, nine hundred sixty".