84684600000 has 2016 divisors, whose sum is σ = 416025372672. Its totient is φ = 15897600000.

The previous prime is 84684599981. The next prime is 84684600019. The reversal of 84684600000 is 648648.

84684600000 is a `hidden beast` number, since 8 + 46 + 8 + 4 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84684599981) and next prime (84684600019).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1801799977 + ... + 1801800023.

It is an arithmetic number, because the mean of its divisors is an integer number (206361792).

Almost surely, 2^84684600000 is an apocalyptic number.

84684600000 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 84684600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208012686336).

84684600000 is an abundant number, since it is smaller than the sum of its proper divisors (331340772672).

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

84684600000 is a wasteful number, since it uses less digits than its factorization.

84684600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 84684600000 in words is "eighty-four billion, six hundred eighty-four million, six hundred thousand".