9666511920 has 160 divisors (see below), whose sum is σ = 35857080000. Its totient is φ = 2379442176.

The previous prime is 9666511891. The next prime is 9666511951. The reversal of 9666511920 is 291156669.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 144045 + ... + 200204.

It is an arithmetic number, because the mean of its divisors is an integer number (224106750).

Almost surely, 2^9666511920 is an apocalyptic number.

9666511920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9666511920 is an abundant number, since it is smaller than the sum of its proper divisors (26190568080).

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

9666511920 is a wasteful number, since it uses less digits than its factorization.

9666511920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344284 (or 344272 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9666511920 is about 98318.4210613657. The cubic root of 9666511920 is about 2130.2141423266.

The spelling of 9666511920 in words is "nine billion, six hundred sixty-six million, five hundred eleven thousand, nine hundred twenty".