84680059392 has 400 divisors, whose sum is σ = 263583520200. Its totient is φ = 27033108480.

The previous prime is 84680059369. The next prime is 84680059393. The reversal of 84680059392 is 29395008648.

84680059392 is a `hidden beast` number, since 8 + 46 + 8 + 0 + 0 + 593 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36075684096 + 48604375296 = 189936^2 + 220464^2 .

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

It is not an unprimeable number, because it can be changed into a prime (84680059393) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217686334 + ... + 217686722.

Almost surely, 2^84680059392 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 84680059392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131791760100).

84680059392 is an abundant number, since it is smaller than the sum of its proper divisors (178903460808).

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

84680059392 is a wasteful number, since it uses less digits than its factorization.

84680059392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 84680059392 in words is "eighty-four billion, six hundred eighty million, fifty-nine thousand, three hundred ninety-two".