84507433920 has 896 divisors, whose sum is σ = 386301081600. Its totient is φ = 16888725504.

The previous prime is 84507433903. The next prime is 84507433949. The reversal of 84507433920 is 2933470548.

84507433920 is a `hidden beast` number, since 84 + 50 + 7 + 433 + 92 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 14935732 + ... + 14941388.

It is an arithmetic number, because the mean of its divisors is an integer number (431139600).

Almost surely, 2^84507433920 is an apocalyptic number.

84507433920 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 84507433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193150540800).

84507433920 is an abundant number, since it is smaller than the sum of its proper divisors (301793647680).

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

84507433920 is a wasteful number, since it uses less digits than its factorization.

84507433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722 (or 5706 counting only the distinct ones).

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

The spelling of 84507433920 in words is "eighty-four billion, five hundred seven million, four hundred thirty-three thousand, nine hundred twenty".