83964988800 has 1440 divisors, whose sum is σ = 393858150840. Its totient is φ = 17418240000.

The previous prime is 83964988769. The next prime is 83964988819. The reversal of 83964988800 is 888946938.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 139708500 + ... + 139709100.

Almost surely, 2^83964988800 is an apocalyptic number.

83964988800 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 83964988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196929075420).

83964988800 is an abundant number, since it is smaller than the sum of its proper divisors (309893162040).

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

83964988800 is a wasteful number, since it uses less digits than its factorization.

83964988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 83964988800 in words is "eighty-three billion, nine hundred sixty-four million, nine hundred eighty-eight thousand, eight hundred".