84097560600 has 576 divisors, whose sum is σ = 306966067200. Its totient is φ = 20565135360.

The previous prime is 84097560551. The next prime is 84097560601. The reversal of 84097560600 is 606579048.

84097560600 is a `hidden beast` number, since 84 + 0 + 9 + 7 + 560 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84097560601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 181635969 + ... + 181636431.

It is an arithmetic number, because the mean of its divisors is an integer number (532927200).

Almost surely, 2^84097560600 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 84097560600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153483033600).

84097560600 is an abundant number, since it is smaller than the sum of its proper divisors (222868506600).

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

84097560600 is a wasteful number, since it uses less digits than its factorization.

84097560600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 84097560600 in words is "eighty-four billion, ninety-seven million, five hundred sixty thousand, six hundred".