84268452600 has 384 divisors, whose sum is σ = 313887052800. Its totient is φ = 20698675200.

The previous prime is 84268452581. The next prime is 84268452607. The reversal of 84268452600 is 625486248.

84268452600 is a `hidden beast` number, since 8 + 42 + 6 + 84 + 526 + 0 + 0 = 666.

It is a super-4 number, since 4×84268452600⁴ (a number of 45 digits) contains 4444 as substring.

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 (84268452607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4304835 + ... + 4324365.

It is an arithmetic number, because the mean of its divisors is an integer number (817414200).

Almost surely, 2^84268452600 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 84268452600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156943526400).

84268452600 is an abundant number, since it is smaller than the sum of its proper divisors (229618600200).

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

84268452600 is a wasteful number, since it uses less digits than its factorization.

84268452600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19620 (or 19605 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 84268452600 in words is "eighty-four billion, two hundred sixty-eight million, four hundred fifty-two thousand, six hundred".