8772631680 has 128 divisors (see below), whose sum is σ = 28183726080. Its totient is φ = 2320883712.

The previous prime is 8772631649. The next prime is 8772631711. The reversal of 8772631680 is 861362778.

It is an interprime number because it is at equal distance from previous prime (8772631649) and next prime (8772631711).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225852 + ... + 261828.

It is an arithmetic number, because the mean of its divisors is an integer number (220185360).

Almost surely, 2^8772631680 is an apocalyptic number.

8772631680 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 8772631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14091863040).

8772631680 is an abundant number, since it is smaller than the sum of its proper divisors (19411094400).

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

8772631680 is a wasteful number, since it uses less digits than its factorization.

8772631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36126 (or 36114 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 8772631680 is about 93662.3279659437. The cubic root of 8772631680 is about 2062.4177224846.

The spelling of 8772631680 in words is "eight billion, seven hundred seventy-two million, six hundred thirty-one thousand, six hundred eighty".