84004080000 has 320 divisors, whose sum is σ = 285664745520. Its totient is φ = 21852160000.

The previous prime is 84004079983. The next prime is 84004080029. The reversal of 84004080000 is 8040048.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9835732 + ... + 9844268.

Almost surely, 2^84004080000 is an apocalyptic number.

84004080000 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 84004080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142832372760).

84004080000 is an abundant number, since it is smaller than the sum of its proper divisors (201660665520).

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

84004080000 is an equidigital number, since it uses as much as digits as its factorization.

84004080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8615 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 84004080000 in words is "eighty-four billion, four million, eighty thousand".