9725566400 has 84 divisors (see below), whose sum is σ = 26106561960. Its totient is φ = 3536563200.

The previous prime is 9725566379. The next prime is 9725566421. The reversal of 9725566400 is 46655279.

It is an interprime number because it is at equal distance from previous prime (9725566379) and next prime (9725566421).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258695 + ... + 293894.

Almost surely, 2^9725566400 is an apocalyptic number.

It is an amenable number.

9725566400 is an abundant number, since it is smaller than the sum of its proper divisors (16380995560).

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

9725566400 is a wasteful number, since it uses less digits than its factorization.

9725566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552622 (or 552607 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 9725566400 is about 98618.2863367641. The cubic root of 9725566400 is about 2134.5432936531.

The spelling of 9725566400 in words is "nine billion, seven hundred twenty-five million, five hundred sixty-six thousand, four hundred".