368560003077504 has 1280 divisors, whose sum is σ = 1353427669440000. Its totient is φ = 97201303879680.

The previous prime is 368560003077503. The next prime is 368560003077551. The reversal of 368560003077504 is 405770300065863.

368560003077504 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 60 + 0 + 0 + 3 + 0 + 77 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368560003077503) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48565024942 + ... + 48565032530.

It is an arithmetic number, because the mean of its divisors is an integer number (1057365366750).

Almost surely, 2^{368560003077504} 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 368560003077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676713834720000).

368560003077504 is an abundant number, since it is smaller than the sum of its proper divisors (984867666362496).

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

368560003077504 is a wasteful number, since it uses less digits than its factorization.

368560003077504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8541 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 368560003077504 in words is "three hundred sixty-eight trillion, five hundred sixty billion, three million, seventy-seven thousand, five hundred four".