84446668800 has 1152 divisors, whose sum is σ = 345777868800. Its totient is φ = 20065812480.

The previous prime is 84446668783. The next prime is 84446668843. The reversal of 84446668800 is 886664448.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 664934337 + ... + 664934463.

It is an arithmetic number, because the mean of its divisors is an integer number (300154400).

Almost surely, 2^84446668800 is an apocalyptic number.

84446668800 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 84446668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172888934400).

84446668800 is an abundant number, since it is smaller than the sum of its proper divisors (261331200000).

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

84446668800 is a wasteful number, since it uses less digits than its factorization.

84446668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 84446668800 in words is "eighty-four billion, four hundred forty-six million, six hundred sixty-eight thousand, eight hundred".