84002903712 has 384 divisors, whose sum is σ = 302516121600. Its totient is φ = 22083591168.

The previous prime is 84002903689. The next prime is 84002903729. The reversal of 84002903712 is 21730920048.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27280989 + ... + 27284067.

It is an arithmetic number, because the mean of its divisors is an integer number (787802400).

Almost surely, 2^84002903712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84002903712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151258060800).

84002903712 is an abundant number, since it is smaller than the sum of its proper divisors (218513217888).

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

84002903712 is a wasteful number, since it uses less digits than its factorization.

84002903712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 84002903712 in words is "eighty-four billion, two million, nine hundred three thousand, seven hundred twelve".