84120560640 has 440 divisors, whose sum is σ = 314582304960. Its totient is φ = 21454405632.

The previous prime is 84120560627. The next prime is 84120560707. The reversal of 84120560640 is 4606502148.

84120560640 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 0 + 5 + 6 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 84120560595 and 84120560604.

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 39 ways as a sum of consecutive naturals, for example, 9534151 + ... + 9542969.

It is an arithmetic number, because the mean of its divisors is an integer number (714959784).

Almost surely, 2^84120560640 is an apocalyptic number.

84120560640 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 84120560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157291152480).

84120560640 is an abundant number, since it is smaller than the sum of its proper divisors (230461744320).

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

84120560640 is a wasteful number, since it uses less digits than its factorization.

84120560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879 (or 8852 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 84120560640 in words is "eighty-four billion, one hundred twenty million, five hundred sixty thousand, six hundred forty".