84263880960 has 864 divisors, whose sum is σ = 368426257920. Its totient is φ = 18121162752.

The previous prime is 84263880949. The next prime is 84263880973. The reversal of 84263880960 is 6908836248.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84263880897 and 84263880906.

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, 28787017 + ... + 28789943.

It is an arithmetic number, because the mean of its divisors is an integer number (426419280).

Almost surely, 2^84263880960 is an apocalyptic number.

84263880960 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 84263880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184213128960).

84263880960 is an abundant number, since it is smaller than the sum of its proper divisors (284162376960).

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

84263880960 is a wasteful number, since it uses less digits than its factorization.

84263880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 84263880960 in words is "eighty-four billion, two hundred sixty-three million, eight hundred eighty thousand, nine hundred sixty".