84384090765 has 128 divisors (see below), whose sum is σ = 180063475200. Its totient is φ = 37041131520.

The previous prime is 84384090701. The next prime is 84384090767. The reversal of 84384090765 is 56709048348.

It is not a de Polignac number, because 84384090765 - 2⁶ = 84384090701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84384090767) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 492435 + ... + 641295.

It is an arithmetic number, because the mean of its divisors is an integer number (1406745900).

Almost surely, 2^84384090765 is an apocalyptic number.

84384090765 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84384090765 is an abundant number, since it is smaller than the sum of its proper divisors (95679384435).

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

84384090765 is a wasteful number, since it uses less digits than its factorization.

84384090765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148924 (or 148918 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 84384090765 in words is "eighty-four billion, three hundred eighty-four million, ninety thousand, seven hundred sixty-five".