9666657000 has 1536 divisors, whose sum is σ = 46608307200. Its totient is φ = 1741824000.

The previous prime is 9666656927. The next prime is 9666657041. The reversal of 9666657000 is 7566669.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 261260982 + ... + 261261018.

It is an arithmetic number, because the mean of its divisors is an integer number (30343950).

Almost surely, 2^9666657000 is an apocalyptic number.

9666657000 is a gapful number since it is divisible by the number (90) 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 9666657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23304153600).

9666657000 is an abundant number, since it is smaller than the sum of its proper divisors (36941650200).

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

9666657000 is a wasteful number, since it uses less digits than its factorization.

9666657000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 9666657000 is about 98319.1588654012. The cubic root of 9666657000 is about 2130.2247993910.

It can be divided in two parts, 9666 and 657000, that added together give a palindrome (666666).

The spelling of 9666657000 in words is "nine billion, six hundred sixty-six million, six hundred fifty-seven thousand".