84494592000 has 1728 divisors, whose sum is σ = 389056711680. Its totient is φ = 17252352000.

The previous prime is 84494591959. The next prime is 84494592073. The reversal of 84494592000 is 29549448.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2725631985 + ... + 2725632015.

It is an arithmetic number, because the mean of its divisors is an integer number (225148560).

Almost surely, 2^84494592000 is an apocalyptic number.

84494592000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84494592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194528355840).

84494592000 is an abundant number, since it is smaller than the sum of its proper divisors (304562119680).

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

84494592000 is a wasteful number, since it uses less digits than its factorization.

84494592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 84494592000 in words is "eighty-four billion, four hundred ninety-four million, five hundred ninety-two thousand".