9709466400 has 108 divisors (see below), whose sum is σ = 34238031282. Its totient is φ = 2589189120.

The previous prime is 9709466381. The next prime is 9709466413. The reversal of 9709466400 is 46649079.

It can be written as a sum of positive squares in 3 ways, for example, as 8695935504 + 1013530896 = 93252^2 + 31836^2 .

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, 667069 + ... + 681468.

Almost surely, 2^9709466400 is an apocalyptic number.

9709466400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9709466400 is an abundant number, since it is smaller than the sum of its proper divisors (24528564882).

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

9709466400 is a wasteful number, since it uses less digits than its factorization.

9709466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348563 (or 1348547 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9709466400 is about 98536.6246631170. The cubic root of 9709466400 is about 2133.3647803524.

The spelling of 9709466400 in words is "nine billion, seven hundred nine million, four hundred sixty-six thousand, four hundred".