8762664960 has 864 divisors, whose sum is σ = 37654606080. Its totient is φ = 1844969472.

The previous prime is 8762664949. The next prime is 8762664961. The reversal of 8762664960 is 694662678.

8762664960 is a `hidden beast` number, since 8 + 7 + 626 + 6 + 4 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8762664897 and 8762664906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8762664961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 186439657 + ... + 186439703.

It is an arithmetic number, because the mean of its divisors is an integer number (43581720).

Almost surely, 2^8762664960 is an apocalyptic number.

8762664960 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 8762664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18827303040).

8762664960 is an abundant number, since it is smaller than the sum of its proper divisors (28891941120).

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

8762664960 is a wasteful number, since it uses less digits than its factorization.

8762664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 8762664960 is about 93609.1072492415. The cubic root of 8762664960 is about 2061.6363784851.

The spelling of 8762664960 in words is "eight billion, seven hundred sixty-two million, six hundred sixty-four thousand, nine hundred sixty".