84488396800 has 168 divisors, whose sum is σ = 211728190716. Its totient is φ = 33439088640.

The previous prime is 84488396767. The next prime is 84488396801. The reversal of 84488396800 is 869388448.

It can be written as a sum of positive squares in 6 ways, for example, as 12131700736 + 72356696064 = 110144^2 + 268992^2 .

It is not an unprimeable number, because it can be changed into a prime (84488396801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19863474 + ... + 19867726.

Almost surely, 2^84488396800 is an apocalyptic number.

84488396800 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 84488396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105864095358).

84488396800 is an abundant number, since it is smaller than the sum of its proper divisors (127239793916).

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

84488396800 is an equidigital number, since it uses as much as digits as its factorization.

84488396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 58.

The spelling of 84488396800 in words is "eighty-four billion, four hundred eighty-eight million, three hundred ninety-six thousand, eight hundred".