8764346880 has 640 divisors, whose sum is σ = 33587136000. Its totient is φ = 2160525312.

The previous prime is 8764346867. The next prime is 8764346881. The reversal of 8764346880 is 886434678.

8764346880 is a `hidden beast` number, since 8 + 76 + 434 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8764346881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58821046 + ... + 58821194.

It is an arithmetic number, because the mean of its divisors is an integer number (52479900).

Almost surely, 2^8764346880 is an apocalyptic number.

8764346880 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 8764346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793568000).

8764346880 is an abundant number, since it is smaller than the sum of its proper divisors (24822789120).

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

8764346880 is a wasteful number, since it uses less digits than its factorization.

8764346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 8764346880 is about 93618.0905594640. The cubic root of 8764346880 is about 2061.7682746470.

The spelling of 8764346880 in words is "eight billion, seven hundred sixty-four million, three hundred forty-six thousand, eight hundred eighty".