84988376645760 has 6912 divisors, whose sum is σ = 414324802944000. Its totient is φ = 15918877900800.

The previous prime is 84988376645737. The next prime is 84988376645803. The reversal of 84988376645760 is 6754667388948.

84988376645760 is a `hidden beast` number, since 8 + 4 + 9 + 8 + 8 + 37 + 6 + 6 + 4 + 576 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 84988376645760.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1393252076130 + ... + 1393252076190.

It is an arithmetic number, because the mean of its divisors is an integer number (59942824500).

Almost surely, 2^{84988376645760} is an apocalyptic number.

84988376645760 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 84988376645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207162401472000).

84988376645760 is an abundant number, since it is smaller than the sum of its proper divisors (329336426298240).

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

84988376645760 is a wasteful number, since it uses less digits than its factorization.

84988376645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 11705057280, while the sum is 81.

The spelling of 84988376645760 in words is "eighty-four trillion, nine hundred eighty-eight billion, three hundred seventy-six million, six hundred forty-five thousand, seven hundred sixty".