8872743264 has 192 divisors, whose sum is σ = 29823800832. Its totient is φ = 2242252800.

The previous prime is 8872743263. The next prime is 8872743287. The reversal of 8872743264 is 4623472788.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8872743263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257284 + ... + 289724.

It is an arithmetic number, because the mean of its divisors is an integer number (155332296).

Almost surely, 2^8872743264 is an apocalyptic number.

8872743264 is a gapful number since it is divisible by the number (84) 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 8872743264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911900416).

8872743264 is an abundant number, since it is smaller than the sum of its proper divisors (20951057568).

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

8872743264 is a wasteful number, since it uses less digits than its factorization.

8872743264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32509 (or 32501 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 51.

The square root of 8872743264 is about 94195.2401345206. The cubic root of 8872743264 is about 2070.2333719010.

The spelling of 8872743264 in words is "eight billion, eight hundred seventy-two million, seven hundred forty-three thousand, two hundred sixty-four".