84900816000 has 3072 divisors, whose sum is σ = 444823142400. Its totient is φ = 14929920000.

The previous prime is 84900815971. The next prime is 84900816023. The reversal of 84900816000 is 61800948.

It is a happy number.

84900816000 is a `hidden beast` number, since 8 + 49 + 0 + 0 + 8 + 1 + 600 + 0 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2738735985 + ... + 2738736015.

It is an arithmetic number, because the mean of its divisors is an integer number (144799200).

Almost surely, 2^84900816000 is an apocalyptic number.

84900816000 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 84900816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222411571200).

84900816000 is an abundant number, since it is smaller than the sum of its proper divisors (359922326400).

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

84900816000 is a wasteful number, since it uses less digits than its factorization.

84900816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 84900816000 in words is "eighty-four billion, nine hundred million, eight hundred sixteen thousand".