327113798400 has 648 divisors, whose sum is σ = 1193449281024. Its totient is φ = 85465497600.

The previous prime is 327113798377. The next prime is 327113798411. The reversal of 327113798400 is 4897311723.

327113798400 is a `hidden beast` number, since 3 + 27 + 1 + 137 + 98 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 709574170 + ... + 709574630.

Almost surely, 2^327113798400 is an apocalyptic number.

327113798400 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 327113798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596724640512).

327113798400 is an abundant number, since it is smaller than the sum of its proper divisors (866335482624).

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

327113798400 is a wasteful number, since it uses less digits than its factorization.

327113798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 327113798400 in words is "three hundred twenty-seven billion, one hundred thirteen million, seven hundred ninety-eight thousand, four hundred".