84114876720 has 320 divisors, whose sum is σ = 310364135424. Its totient is φ = 18440110080.

The previous prime is 84114876647. The next prime is 84114876731. The reversal of 84114876720 is 2767841148.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84114876720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5877894 + ... + 5892186.

Almost surely, 2^84114876720 is an apocalyptic number.

84114876720 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 84114876720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155182067712).

84114876720 is an abundant number, since it is smaller than the sum of its proper divisors (226249258704).

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

84114876720 is a wasteful number, since it uses less digits than its factorization.

84114876720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14460 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 84114876720 in words is "eighty-four billion, one hundred fourteen million, eight hundred seventy-six thousand, seven hundred twenty".