84718440576 has 384 divisors, whose sum is σ = 306172339200. Its totient is φ = 21843302400.

The previous prime is 84718440563. The next prime is 84718440601. The reversal of 84718440576 is 67504481748.

84718440576 is a `hidden beast` number, since 8 + 471 + 84 + 40 + 57 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12326421 + ... + 12333291.

It is an arithmetic number, because the mean of its divisors is an integer number (797323800).

Almost surely, 2^84718440576 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 84718440576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153086169600).

84718440576 is an abundant number, since it is smaller than the sum of its proper divisors (221453898624).

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

84718440576 is a wasteful number, since it uses less digits than its factorization.

84718440576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 84718440576 in words is "eighty-four billion, seven hundred eighteen million, four hundred forty thousand, five hundred seventy-six".