8667378720 has 864 divisors, whose sum is σ = 40468559040. Its totient is φ = 1660538880.

The previous prime is 8667378703. The next prime is 8667378749. The reversal of 8667378720 is 278737668.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10089651 + ... + 10090509.

It is an arithmetic number, because the mean of its divisors is an integer number (46838610).

Almost surely, 2^8667378720 is an apocalyptic number.

8667378720 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 8667378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234279520).

8667378720 is an abundant number, since it is smaller than the sum of its proper divisors (31801180320).

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

8667378720 is a wasteful number, since it uses less digits than its factorization.

8667378720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 8667378720 is about 93098.7578864509. The cubic root of 8667378720 is about 2054.1363021147.

The spelling of 8667378720 in words is "eight billion, six hundred sixty-seven million, three hundred seventy-eight thousand, seven hundred twenty".