368560664646552 has 768 divisors, whose sum is σ = 1273715593113600. Its totient is φ = 93853750394880.

The previous prime is 368560664646529. The next prime is 368560664646553. The reversal of 368560664646552 is 255646466065863.

368560664646552 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 6 + 0 + 6 + 6 + 4 + 64 + 6 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368560664646553) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3404757693 + ... + 3404865939.

It is an arithmetic number, because the mean of its divisors is an integer number (1658483845200).

Almost surely, 2^{368560664646552} 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 368560664646552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636857796556800).

368560664646552 is an abundant number, since it is smaller than the sum of its proper divisors (905154928467048).

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

368560664646552 is a wasteful number, since it uses less digits than its factorization.

368560664646552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108576 (or 108569 counting only the distinct ones).

The product of its (nonzero) digits is 4478976000, while the sum is 72.

The spelling of 368560664646552 in words is "three hundred sixty-eight trillion, five hundred sixty billion, six hundred sixty-four million, six hundred forty-six thousand, five hundred fifty-two".