364320374400 has 672 divisors, whose sum is σ = 1372749415200. Its totient is φ = 95469373440.

The previous prime is 364320374387. The next prime is 364320374401. The reversal of 364320374400 is 4473023463.

364320374400 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 203 + 7 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (364320374401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 137633877 + ... + 137636523.

Almost surely, 2^364320374400 is an apocalyptic number.

364320374400 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 364320374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686374707600).

364320374400 is an abundant number, since it is smaller than the sum of its proper divisors (1008429040800).

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

364320374400 is an equidigital number, since it uses as much as digits as its factorization.

364320374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Adding to 364320374400 its reverse (4473023463), we get a palindrome (368793397863).

It can be divided in two parts, 364320 and 374400, that added together give a triangular number (738720 = T₁₂₁₅).

The spelling of 364320374400 in words is "three hundred sixty-four billion, three hundred twenty million, three hundred seventy-four thousand, four hundred".