864874483200 has 2880 divisors, whose sum is σ = 4228811338752. Its totient is φ = 163499212800.

The previous prime is 864874483171. The next prime is 864874483219. The reversal of 864874483200 is 2384478468.

It is a happy number.

864874483200 is a `hidden beast` number, since 8 + 64 + 87 + 4 + 483 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4098931095 + ... + 4098931305.

Almost surely, 2^864874483200 is an apocalyptic number.

864874483200 is a gapful number since it is divisible by the number (80) 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 864874483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114405669376).

864874483200 is an abundant number, since it is smaller than the sum of its proper divisors (3363936855552).

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

864874483200 is a wasteful number, since it uses less digits than its factorization.

864874483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 864874483200 in words is "eight hundred sixty-four billion, eight hundred seventy-four million, four hundred eighty-three thousand, two hundred".