84090973824 has 512 divisors, whose sum is σ = 308756448000. Its totient is φ = 22136094720.

The previous prime is 84090973819. The next prime is 84090973907. The reversal of 84090973824 is 42837909048.

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 63 ways as a sum of consecutive naturals, for example, 8396532 + ... + 8406540.

Almost surely, 2^84090973824 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 84090973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154378224000).

84090973824 is an abundant number, since it is smaller than the sum of its proper divisors (224665474176).

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

84090973824 is a wasteful number, since it uses less digits than its factorization.

84090973824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10073 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 84090973824 in words is "eighty-four billion, ninety million, nine hundred seventy-three thousand, eight hundred twenty-four".