324864800856 has 192 divisors, whose sum is σ = 941853575520. Its totient is φ = 100801658880.

The previous prime is 324864800803. The next prime is 324864800863. The reversal of 324864800856 is 658008468423.

324864800856 is a `hidden beast` number, since 3 + 2 + 4 + 86 + 480 + 0 + 85 + 6 = 666.

324864800856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50184436 + ... + 50190908.

Almost surely, 2^324864800856 is an apocalyptic number.

324864800856 is a gapful number since it is divisible by the number (36) 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 324864800856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470926787760).

324864800856 is an abundant number, since it is smaller than the sum of its proper divisors (616988774664).

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

324864800856 is a wasteful number, since it uses less digits than its factorization.

324864800856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 324864800856 in words is "three hundred twenty-four billion, eight hundred sixty-four million, eight hundred thousand, eight hundred fifty-six".