368474551200 has 864 divisors, whose sum is σ = 1641494937600. Its totient is φ = 79264604160.

The previous prime is 368474551199. The next prime is 368474551201. The reversal of 368474551200 is 2155474863.

368474551200 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 74 + 551 + 20 + 0 = 666.

368474551200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (368474551199) and next prime (368474551201).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (368474551201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17982561 + ... + 18003039.

It is an arithmetic number, because the mean of its divisors is an integer number (1899878400).

Almost surely, 2^368474551200 is an apocalyptic number.

368474551200 is a gapful number since it is divisible by the number (30) 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 368474551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820747468800).

368474551200 is an abundant number, since it is smaller than the sum of its proper divisors (1273020386400).

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

368474551200 is a wasteful number, since it uses less digits than its factorization.

368474551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20539 (or 20513 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 368474551200 in words is "three hundred sixty-eight billion, four hundred seventy-four million, five hundred fifty-one thousand, two hundred".