84907924920 has 1024 divisors, whose sum is σ = 372363264000. Its totient is φ = 16738928640.

The previous prime is 84907924909. The next prime is 84907924943. The reversal of 84907924920 is 2942970948.

84907924920 is a `hidden beast` number, since 8 + 490 + 7 + 92 + 49 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2738965305 + ... + 2738965335.

It is an arithmetic number, because the mean of its divisors is an integer number (363636000).

Almost surely, 2^84907924920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84907924920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186181632000).

84907924920 is an abundant number, since it is smaller than the sum of its proper divisors (287455339080).

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

84907924920 is a wasteful number, since it uses less digits than its factorization.

84907924920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 84907924920 in words is "eighty-four billion, nine hundred seven million, nine hundred twenty-four thousand, nine hundred twenty".