84568872960 has 1920 divisors, whose sum is σ = 383584481280. Its totient is φ = 17517772800.

The previous prime is 84568872931. The next prime is 84568873001. The reversal of 84568872960 is 6927886548.

84568872960 is a `hidden beast` number, since 8 + 4 + 568 + 8 + 7 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2728028145 + ... + 2728028175.

It is an arithmetic number, because the mean of its divisors is an integer number (199783584).

Almost surely, 2^84568872960 is an apocalyptic number.

84568872960 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 84568872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191792240640).

84568872960 is an abundant number, since it is smaller than the sum of its proper divisors (299015608320).

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

84568872960 is a wasteful number, since it uses less digits than its factorization.

84568872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 84568872960 in words is "eighty-four billion, five hundred sixty-eight million, eight hundred seventy-two thousand, nine hundred sixty".