9666068400 has 90 divisors (see below), whose sum is σ = 33543954860. Its totient is φ = 2577617280.

The previous prime is 9666068393. The next prime is 9666068413. The reversal of 9666068400 is 48606669.

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 1338910 + ... + 1346109.

Almost surely, 2^9666068400 is an apocalyptic number.

9666068400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9666068400 is an abundant number, since it is smaller than the sum of its proper divisors (23877886460).

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

9666068400 is a wasteful number, since it uses less digits than its factorization.

9666068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685043 (or 2685029 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9666068400 is about 98316.1655070009. The cubic root of 9666068400 is about 2130.1815622524.

The spelling of 9666068400 in words is "nine billion, six hundred sixty-six million, sixty-eight thousand, four hundred".