84732264960 has 1280 divisors, whose sum is σ = 356377190400. Its totient is φ = 16713252864.

The previous prime is 84732264959. The next prime is 84732264997. The reversal of 84732264960 is 6946223748.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 609584571 + ... + 609584709.

It is an arithmetic number, because the mean of its divisors is an integer number (278419680).

Almost surely, 2^84732264960 is an apocalyptic number.

84732264960 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 84732264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178188595200).

84732264960 is an abundant number, since it is smaller than the sum of its proper divisors (271644925440).

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

84732264960 is a wasteful number, since it uses less digits than its factorization.

84732264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 84732264960 in words is "eighty-four billion, seven hundred thirty-two million, two hundred sixty-four thousand, nine hundred sixty".