84004096000 has 384 divisors, whose sum is σ = 238806247680. Its totient is φ = 29196288000.

The previous prime is 84004095997. The next prime is 84004096027. The reversal of 84004096000 is 69040048.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64767352 + ... + 64768648.

It is an arithmetic number, because the mean of its divisors is an integer number (621891270).

Almost surely, 2^84004096000 is an apocalyptic number.

84004096000 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 84004096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119403123840).

84004096000 is an abundant number, since it is smaller than the sum of its proper divisors (154802151680).

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

84004096000 is a wasteful number, since it uses less digits than its factorization.

84004096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 84004096000 in words is "eighty-four billion, four million, ninety-six thousand".