200022979625064 has 224 divisors, whose sum is σ = 563185090944000. Its totient is φ = 66570310463616.

The previous prime is 200022979625003. The next prime is 200022979625089. The reversal of 200022979625064 is 460526979220002.

200022979625064 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 2 + 2 + 9 + 7 + 9 + 625 + 0 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200022979625064.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28255820677 + ... + 28255827755.

It is an arithmetic number, because the mean of its divisors is an integer number (2514219156000).

Almost surely, 2^{200022979625064} is an apocalyptic number.

200022979625064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200022979625064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281592545472000).

200022979625064 is an abundant number, since it is smaller than the sum of its proper divisors (363162111318936).

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

200022979625064 is an equidigital number, since it uses as much as digits as its factorization.

200022979625064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13979 (or 13960 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 200022979625064 in words is "two hundred trillion, twenty-two billion, nine hundred seventy-nine million, six hundred twenty-five thousand, sixty-four".