84337405920 has 72 divisors (see below), whose sum is σ = 287801402616. Its totient is φ = 22489974528.

The previous prime is 84337405879. The next prime is 84337405931. The reversal of 84337405920 is 2950473348.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×84337405920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29282382 + ... + 29285261.

It is an arithmetic number, because the mean of its divisors is an integer number (3997241703).

Almost surely, 2^84337405920 is an apocalyptic number.

84337405920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84337405920 is an abundant number, since it is smaller than the sum of its proper divisors (203463996696).

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

84337405920 is a wasteful number, since it uses less digits than its factorization.

84337405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58567664 (or 58567653 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 84337405920 in words is "eighty-four billion, three hundred thirty-seven million, four hundred five thousand, nine hundred twenty".