77521618944 has 1296 divisors, whose sum is σ = 313003913040. Its totient is φ = 18951045120.

The previous prime is 77521618907. The next prime is 77521618957. The reversal of 77521618944 is 44981612577.

77521618944 is a `hidden beast` number, since 77 + 521 + 6 + 1 + 8 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

Its product of digits (3386880) is a multiple of the sum of its prime divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4560095224 + ... + 4560095240.

It is an arithmetic number, because the mean of its divisors is an integer number (241515365).

Almost surely, 2^77521618944 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 77521618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156501956520).

77521618944 is an abundant number, since it is smaller than the sum of its proper divisors (235482294096).

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

77521618944 is a wasteful number, since it uses less digits than its factorization.

77521618944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 77521618944 in words is "seventy-seven billion, five hundred twenty-one million, six hundred eighteen thousand, nine hundred forty-four".