84839406720 has 256 divisors, whose sum is σ = 277159034880. Its totient is φ = 22063984640.

The previous prime is 84839406709. The next prime is 84839406721. The reversal of 84839406720 is 2760493848.

It is a super-3 number, since 3×84839406720³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (84839406721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28063129 + ... + 28066151.

It is an arithmetic number, because the mean of its divisors is an integer number (1082652480).

Almost surely, 2^84839406720 is an apocalyptic number.

84839406720 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 84839406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138579517440).

84839406720 is an abundant number, since it is smaller than the sum of its proper divisors (192319628160).

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

84839406720 is a wasteful number, since it uses less digits than its factorization.

84839406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 84839406720 in words is "eighty-four billion, eight hundred thirty-nine million, four hundred six thousand, seven hundred twenty".