84813324960 has 384 divisors, whose sum is σ = 329638256640. Its totient is φ = 17849880576.

The previous prime is 84813324929. The next prime is 84813325013. The reversal of 84813324960 is 6942331848.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19173309 + ... + 19177731.

It is an arithmetic number, because the mean of its divisors is an integer number (858432960).

Almost surely, 2^84813324960 is an apocalyptic number.

84813324960 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 84813324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164819128320).

84813324960 is an abundant number, since it is smaller than the sum of its proper divisors (244824931680).

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

84813324960 is a wasteful number, since it uses less digits than its factorization.

84813324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 84813324960 in words is "eighty-four billion, eight hundred thirteen million, three hundred twenty-four thousand, nine hundred sixty".