84457768960 has 96 divisors (see below), whose sum is σ = 209187014400. Its totient is φ = 32693207040.

The previous prime is 84457768951. The next prime is 84457768987. The reversal of 84457768960 is 6986775448.

It is a super-2 number, since 2×84457768960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 84457768892 and 84457768901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184411 + ... + 450469.

It is an arithmetic number, because the mean of its divisors is an integer number (2179031400).

Almost surely, 2^84457768960 is an apocalyptic number.

84457768960 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 84457768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104593507200).

84457768960 is an abundant number, since it is smaller than the sum of its proper divisors (124729245440).

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

84457768960 is a wasteful number, since it uses less digits than its factorization.

84457768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266117 (or 266097 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

The spelling of 84457768960 in words is "eighty-four billion, four hundred fifty-seven million, seven hundred sixty-eight thousand, nine hundred sixty".