8667618720 has 96 divisors (see below), whose sum is σ = 27327041280. Its totient is φ = 2309329920.

The previous prime is 8667618709. The next prime is 8667618731. The reversal of 8667618720 is 278167668.

It is an interprime number because it is at equal distance from previous prime (8667618709) and next prime (8667618731).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8667618720² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583546 + ... + 598214.

It is an arithmetic number, because the mean of its divisors is an integer number (284656680).

Almost surely, 2^8667618720 is an apocalyptic number.

8667618720 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 8667618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663520640).

8667618720 is an abundant number, since it is smaller than the sum of its proper divisors (18659422560).

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

8667618720 is a wasteful number, since it uses less digits than its factorization.

8667618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15918 (or 15910 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 8667618720 is about 93100.0468313523. The cubic root of 8667618720 is about 2054.1552616402.

The spelling of 8667618720 in words is "eight billion, six hundred sixty-seven million, six hundred eighteen thousand, seven hundred twenty".