77563364004 has 243 divisors, whose sum is σ = 241400547297. Its totient is φ = 20934438336.

The previous prime is 77563363987. The next prime is 77563364041. The reversal of 77563364004 is 40046336577.

The square root of 77563364004 is 278502.

It is a perfect power (a square), and thus also a powerful number.

77563364004 is a `hidden beast` number, since 7 + 7 + 5 + 633 + 6 + 4 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56930914404 + 20632449600 = 238602^2 + 143640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 222244422 + ... + 222244770.

Almost surely, 2^77563364004 is an apocalyptic number.

77563364004 is the 278502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77563364004

77563364004 is an abundant number, since it is smaller than the sum of its proper divisors (163837183293).

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

77563364004 is a wasteful number, since it uses less digits than its factorization.

77563364004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 77563364004 in words is "seventy-seven billion, five hundred sixty-three million, three hundred sixty-four thousand, four".