84057407568 has 60 divisors (see below), whose sum is σ = 239100478708. Its totient is φ = 27559802880.

The previous prime is 84057407509. The next prime is 84057407569. The reversal of 84057407568 is 86570475048.

84057407568 is a `hidden beast` number, since 8 + 4 + 0 + 5 + 74 + 0 + 7 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1189422144 + 82867985424 = 34488^2 + 287868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84057407569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4775905 + ... + 4793472.

Almost surely, 2^84057407568 is an apocalyptic number.

It is an amenable number.

84057407568 is an abundant number, since it is smaller than the sum of its proper divisors (155043071140).

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

84057407568 is a wasteful number, since it uses less digits than its factorization.

84057407568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569452 (or 9569443 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 84057407568 in words is "eighty-four billion, fifty-seven million, four hundred seven thousand, five hundred sixty-eight".