84464039520 has 384 divisors, whose sum is σ = 342037140480. Its totient is φ = 19305506304.

The previous prime is 84464039509. The next prime is 84464039587. The reversal of 84464039520 is 2593046448.

84464039520 is a `hidden beast` number, since 84 + 4 + 6 + 40 + 3 + 9 + 520 = 666.

It is a super-2 number, since 2×84464039520² (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 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, 2432199 + ... + 2466681.

It is an arithmetic number, because the mean of its divisors is an integer number (890721720).

Almost surely, 2^84464039520 is an apocalyptic number.

84464039520 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 84464039520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171018570240).

84464039520 is an abundant number, since it is smaller than the sum of its proper divisors (257573100960).

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

84464039520 is an equidigital number, since it uses as much as digits as its factorization.

84464039520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34526 (or 34500 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 84464039520 in words is "eighty-four billion, four hundred sixty-four million, thirty-nine thousand, five hundred twenty".