77013467725824 has 816 divisors, whose sum is σ = 281060788140000. Its totient is φ = 20709107564544.

The previous prime is 77013467725793. The next prime is 77013467725891. The reversal of 77013467725824 is 42852776431077.

77013467725824 is a `hidden beast` number, since 7 + 7 + 0 + 1 + 3 + 46 + 7 + 7 + 2 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is a super-2 number, since 2×77013467725824² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473944052 + ... + 1473996300.

Almost surely, 2^{77013467725824} 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 77013467725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140530394070000).

77013467725824 is an abundant number, since it is smaller than the sum of its proper divisors (204047320414176).

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

77013467725824 is an equidigital number, since it uses as much as digits as its factorization.

77013467725824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52321 (or 52278 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 63.

The spelling of 77013467725824 in words is "seventy-seven trillion, thirteen billion, four hundred sixty-seven million, seven hundred twenty-five thousand, eight hundred twenty-four".