84524679360 has 1120 divisors, whose sum is σ = 345841588224. Its totient is φ = 19408896000.

The previous prime is 84524679347. The next prime is 84524679361. The reversal of 84524679360 is 6397642548.

84524679360 is a `hidden beast` number, since 8 + 452 + 46 + 7 + 93 + 60 = 666.

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 = 84524679297 and 84524679306.

It is not an unprimeable number, because it can be changed into a prime (84524679361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 645226495 + ... + 645226625.

Almost surely, 2^84524679360 is an apocalyptic number.

84524679360 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 84524679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172920794112).

84524679360 is an abundant number, since it is smaller than the sum of its proper divisors (261316908864).

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

84524679360 is a wasteful number, since it uses less digits than its factorization.

84524679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 84524679360 in words is "eighty-four billion, five hundred twenty-four million, six hundred seventy-nine thousand, three hundred sixty".