8967366720 has 672 divisors, whose sum is σ = 35837055072. Its totient is φ = 2038431744.

The previous prime is 8967366719. The next prime is 8967366763. The reversal of 8967366720 is 276637698.

It can be written as a sum of positive squares in 16 ways, for example, as 2965455936 + 6001910784 = 54456^2 + 77472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46462944 + ... + 46463136.

It is an arithmetic number, because the mean of its divisors is an integer number (53328951).

Almost surely, 2^8967366720 is an apocalyptic number.

8967366720 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 8967366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17918527536).

8967366720 is an abundant number, since it is smaller than the sum of its proper divisors (26869688352).

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

8967366720 is a wasteful number, since it uses less digits than its factorization.

8967366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 8967366720 is about 94696.1811268015. The cubic root of 8967366720 is about 2077.5667057956.

The spelling of 8967366720 in words is "eight billion, nine hundred sixty-seven million, three hundred sixty-six thousand, seven hundred twenty".