84975724800 has 648 divisors, whose sum is σ = 312892952736. Its totient is φ = 21994536960.

The previous prime is 84975724793. The next prime is 84975724831. The reversal of 84975724800 is 842757948.

It is a happy number.

84975724800 is a `hidden beast` number, since 8 + 4 + 97 + 5 + 72 + 480 + 0 = 666.

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, 374342287 + ... + 374342513.

Almost surely, 2^84975724800 is an apocalyptic number.

84975724800 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 84975724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156446476368).

84975724800 is an abundant number, since it is smaller than the sum of its proper divisors (227917227936).

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

84975724800 is a wasteful number, since it uses less digits than its factorization.

84975724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 84975724800 in words is "eighty-four billion, nine hundred seventy-five million, seven hundred twenty-four thousand, eight hundred".