368873784972 has 288 divisors, whose sum is σ = 1246418288640. Its totient is φ = 93221331840.

The previous prime is 368873784953. The next prime is 368873784977. The reversal of 368873784972 is 279487378863.

368873784972 is a `hidden beast` number, since 3 + 68 + 8 + 7 + 3 + 78 + 497 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 368873784972.

It is not an unprimeable number, because it can be changed into a prime (368873784977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2068213 + ... + 2239475.

It is an arithmetic number, because the mean of its divisors is an integer number (4327841280).

Almost surely, 2^368873784972 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 368873784972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623209144320).

368873784972 is an abundant number, since it is smaller than the sum of its proper divisors (877544503668).

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

368873784972 is a wasteful number, since it uses less digits than its factorization.

368873784972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171338 (or 171323 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 368873784972 in words is "three hundred sixty-eight billion, eight hundred seventy-three million, seven hundred eighty-four thousand, nine hundred seventy-two".