84518036800 has 168 divisors, whose sum is σ = 211028743296. Its totient is φ = 33311784960.

The previous prime is 84518036761. The next prime is 84518036809. The reversal of 84518036800 is 863081548.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84518036809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76625049 + ... + 76626151.

It is an arithmetic number, because the mean of its divisors is an integer number (1256123472).

Almost surely, 2^84518036800 is an apocalyptic number.

84518036800 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 84518036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105514371648).

84518036800 is an abundant number, since it is smaller than the sum of its proper divisors (126510706496).

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

84518036800 is a wasteful number, since it uses less digits than its factorization.

84518036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 84518036800 in words is "eighty-four billion, five hundred eighteen million, thirty-six thousand, eight hundred".