84600921600 has 720 divisors, whose sum is σ = 345336303312. Its totient is φ = 19593953280.

The previous prime is 84600921589. The next prime is 84600921637. The reversal of 84600921600 is 612900648.

84600921600 is a `hidden beast` number, since 8 + 46 + 0 + 0 + 9 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25457539 + ... + 25460861.

Almost surely, 2^84600921600 is an apocalyptic number.

84600921600 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 84600921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172668151656).

84600921600 is an abundant number, since it is smaller than the sum of its proper divisors (260735381712).

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

84600921600 is a wasteful number, since it uses less digits than its factorization.

84600921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 84600921600 in words is "eighty-four billion, six hundred million, nine hundred twenty-one thousand, six hundred".