84096907440 has 960 divisors, whose sum is σ = 348367703040. Its totient is φ = 16321536000.

The previous prime is 84096907439. The next prime is 84096907457. The reversal of 84096907440 is 4470969048.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 335047315 + ... + 335047565.

It is an arithmetic number, because the mean of its divisors is an integer number (362883024).

Almost surely, 2^84096907440 is an apocalyptic number.

84096907440 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 84096907440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174183851520).

84096907440 is an abundant number, since it is smaller than the sum of its proper divisors (264270795600).

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

84096907440 is a wasteful number, since it uses less digits than its factorization.

84096907440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 84096907440 in words is "eighty-four billion, ninety-six million, nine hundred seven thousand, four hundred forty".