8872701253632 has 576 divisors, whose sum is σ = 27219087866880. Its totient is φ = 2780415590400.

The previous prime is 8872701253631. The next prime is 8872701253681. The reversal of 8872701253632 is 2363521072788.

8872701253632 is a `hidden beast` number, since 8 + 8 + 7 + 2 + 70 + 1 + 2 + 536 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8872701253631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2892956163 + ... + 2892959229.

It is an arithmetic number, because the mean of its divisors is an integer number (47255360880).

Almost surely, 2^{8872701253632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8872701253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13609543933440).

8872701253632 is an abundant number, since it is smaller than the sum of its proper divisors (18346386613248).

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

8872701253632 is a wasteful number, since it uses less digits than its factorization.

8872701253632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 8872701253632 in words is "eight trillion, eight hundred seventy-two billion, seven hundred one million, two hundred fifty-three thousand, six hundred thirty-two".