84407416016 has 160 divisors (see below), whose sum is σ = 207453388800. Its totient is φ = 32315811840.

The previous prime is 84407416003. The next prime is 84407416031. The reversal of 84407416016 is 61061470448.

It is a super-2 number, since 2×84407416016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21702200 + ... + 21706088.

It is an arithmetic number, because the mean of its divisors is an integer number (1296583680).

Almost surely, 2^84407416016 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 84407416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103726694400).

84407416016 is an abundant number, since it is smaller than the sum of its proper divisors (123045972784).

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

84407416016 is a wasteful number, since it uses less digits than its factorization.

84407416016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 84407416016 in words is "eighty-four billion, four hundred seven million, four hundred sixteen thousand, sixteen".