8667610000 has 375 divisors, whose sum is σ = 25837519191. Its totient is φ = 2815344000.

The previous prime is 8667609997. The next prime is 8667610037. The reversal of 8667610000 is 167668.

The square root of 8667610000 is 93100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 679540624 + 7988069376 = 26068^2 + 89376^2 .

It is a super-2 number, since 2×8667610000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 456189991 + ... + 456190009.

Almost surely, 2^8667610000 is an apocalyptic number.

8667610000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8667610000 is the 93100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8667610000

8667610000 is an abundant number, since it is smaller than the sum of its proper divisors (17169909191).

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

8667610000 is an frugal number, since it uses more digits than its factorization.

8667610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The cubic root of 8667610000 is about 2054.1545727836.

Adding to 8667610000 its reverse (167668), we get a palindrome (8667777668).

The spelling of 8667610000 in words is "eight billion, six hundred sixty-seven million, six hundred ten thousand".