8964859680 has 720 divisors, whose sum is σ = 38793142080. Its totient is φ = 1938650112.

The previous prime is 8964859621. The next prime is 8964859703. The reversal of 8964859680 is 869584698.

8964859680 is a `hidden beast` number, since 8 + 96 + 485 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12065389 + ... + 12066131.

It is an arithmetic number, because the mean of its divisors is an integer number (53879364).

Almost surely, 2^8964859680 is an apocalyptic number.

8964859680 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 8964859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396571040).

8964859680 is an abundant number, since it is smaller than the sum of its proper divisors (29828282400).

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

8964859680 is a wasteful number, since it uses less digits than its factorization.

8964859680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The square root of 8964859680 is about 94682.9429200424. The cubic root of 8964859680 is about 2077.3730767381.

The spelling of 8964859680 in words is "eight billion, nine hundred sixty-four million, eight hundred fifty-nine thousand, six hundred eighty".