84725013408 has 288 divisors, whose sum is σ = 272090327040. Its totient is φ = 22605488640.

The previous prime is 84725013397. The next prime is 84725013433. The reversal of 84725013408 is 80431052748.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 84725013408.

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, 17221573 + ... + 17226491.

It is an arithmetic number, because the mean of its divisors is an integer number (944758080).

Almost surely, 2^84725013408 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 84725013408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136045163520).

84725013408 is an abundant number, since it is smaller than the sum of its proper divisors (187365313632).

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

84725013408 is a wasteful number, since it uses less digits than its factorization.

84725013408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 84725013408 in words is "eighty-four billion, seven hundred twenty-five million, thirteen thousand, four hundred eight".