84742568280 has 128 divisors (see below), whose sum is σ = 282788582400. Its totient is φ = 22572950400.

The previous prime is 84742568279. The next prime is 84742568311. The reversal of 84742568280 is 8286524748.

84742568280 is a `hidden beast` number, since 8 + 4 + 74 + 2 + 568 + 2 + 8 + 0 = 666.

It is a super-4 number, since 4×84742568280⁴ (a number of 45 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940815 + ... + 1026945.

It is an arithmetic number, because the mean of its divisors is an integer number (2209285800).

Almost surely, 2^84742568280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84742568280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141394291200).

84742568280 is an abundant number, since it is smaller than the sum of its proper divisors (198046014120).

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

84742568280 is a wasteful number, since it uses less digits than its factorization.

84742568280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87062 (or 87052 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 84742568280 in words is "eighty-four billion, seven hundred forty-two million, five hundred sixty-eight thousand, two hundred eighty".