84560874840 has 384 divisors, whose sum is σ = 313086009600. Its totient is φ = 19621647360.

The previous prime is 84560874833. The next prime is 84560874841. The reversal of 84560874840 is 4847806548.

84560874840 is a `hidden beast` number, since 8 + 4 + 560 + 8 + 74 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×84560874840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84560874841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18759867 + ... + 18764373.

It is an arithmetic number, because the mean of its divisors is an integer number (815328150).

Almost surely, 2^84560874840 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 84560874840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156543004800).

84560874840 is an abundant number, since it is smaller than the sum of its proper divisors (228525134760).

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

84560874840 is a wasteful number, since it uses less digits than its factorization.

84560874840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 84560874840 in words is "eighty-four billion, five hundred sixty million, eight hundred seventy-four thousand, eight hundred forty".