84538980864 has 180 divisors, whose sum is σ = 264199450086. Its totient is φ = 26011754496.

The previous prime is 84538980829. The next prime is 84538980871. The reversal of 84538980864 is 46808983548.

84538980864 is a `hidden beast` number, since 8 + 4 + 538 + 98 + 0 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 40237150464 + 44301830400 = 200592^2 + 210480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 724474 + ... + 833030.

Almost surely, 2^84538980864 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 84538980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132099725043).

84538980864 is an abundant number, since it is smaller than the sum of its proper divisors (179660469222).

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

84538980864 is a wasteful number, since it uses less digits than its factorization.

84538980864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108607 (or 108575 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 84538980864 in words is "eighty-four billion, five hundred thirty-eight million, nine hundred eighty thousand, eight hundred sixty-four".