77642491824 has 120 divisors (see below), whose sum is σ = 218377640000. Its totient is φ = 25751779200.

The previous prime is 77642491811. The next prime is 77642491831. The reversal of 77642491824 is 42819424677.

77642491824 is a `hidden beast` number, since 7 + 76 + 4 + 2 + 491 + 82 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27231999 + ... + 27234849.

Almost surely, 2^77642491824 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 77642491824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109188820000).

77642491824 is an abundant number, since it is smaller than the sum of its proper divisors (140735148176).

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

77642491824 is a wasteful number, since it uses less digits than its factorization.

77642491824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3734 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 77642491824 in words is "seventy-seven billion, six hundred forty-two million, four hundred ninety-one thousand, eight hundred twenty-four".