84972393408 has 448 divisors, whose sum is σ = 279873699840. Its totient is φ = 22213398528.

The previous prime is 84972393403. The next prime is 84972393421. The reversal of 84972393408 is 80439327948.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84972393403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99615510 + ... + 99616362.

It is an arithmetic number, because the mean of its divisors is an integer number (624718080).

Almost surely, 2^84972393408 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 84972393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139936849920).

84972393408 is an abundant number, since it is smaller than the sum of its proper divisors (194901306432).

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

84972393408 is a wasteful number, since it uses less digits than its factorization.

84972393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 84972393408 in words is "eighty-four billion, nine hundred seventy-two million, three hundred ninety-three thousand, four hundred eight".