368795138400 has 720 divisors, whose sum is σ = 1464951549600. Its totient is φ = 89742090240.

The previous prime is 368795138399. The next prime is 368795138471. The reversal of 368795138400 is 4831597863.

368795138400 is a `hidden beast` number, since 3 + 6 + 87 + 9 + 513 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74971141 + ... + 74976059.

It is an arithmetic number, because the mean of its divisors is an integer number (2034654930).

Almost surely, 2^368795138400 is an apocalyptic number.

368795138400 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 368795138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732475774800).

368795138400 is an abundant number, since it is smaller than the sum of its proper divisors (1096156411200).

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

368795138400 is a wasteful number, since it uses less digits than its factorization.

368795138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 368795138400 in words is "three hundred sixty-eight billion, seven hundred ninety-five million, one hundred thirty-eight thousand, four hundred".