156327494400 has 1728 divisors, whose sum is σ = 739685990400. Its totient is φ = 31352832000.

The previous prime is 156327494383. The next prime is 156327494413. The reversal of 156327494400 is 4494723651.

156327494400 is a `hidden beast` number, since 1 + 5 + 632 + 7 + 4 + 9 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 412473411 + ... + 412473789.

Almost surely, 2^156327494400 is an apocalyptic number.

156327494400 is a gapful number since it is divisible by the number (10) 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 156327494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369842995200).

156327494400 is an abundant number, since it is smaller than the sum of its proper divisors (583358496000).

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

156327494400 is a wasteful number, since it uses less digits than its factorization.

156327494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 156327494400 in words is "one hundred fifty-six billion, three hundred twenty-seven million, four hundred ninety-four thousand, four hundred".