84677598720 has 960 divisors, whose sum is σ = 355846867200. Its totient is φ = 18920079360.

The previous prime is 84677598613. The next prime is 84677598749. The reversal of 84677598720 is 2789577648.

84677598720 is a `hidden beast` number, since 8 + 467 + 75 + 9 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128493751 + ... + 128494409.

It is an arithmetic number, because the mean of its divisors is an integer number (370673820).

Almost surely, 2^84677598720 is an apocalyptic number.

84677598720 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 84677598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177923433600).

84677598720 is an abundant number, since it is smaller than the sum of its proper divisors (271169268480).

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

84677598720 is a wasteful number, since it uses less digits than its factorization.

84677598720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 84677598720 in words is "eighty-four billion, six hundred seventy-seven million, five hundred ninety-eight thousand, seven hundred twenty".