9409672800 has 720 divisors, whose sum is σ = 38430165312. Its totient is φ = 2220825600.

The previous prime is 9409672793. The next prime is 9409672801. The reversal of 9409672800 is 82769049.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9409672801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30650247 + ... + 30650553.

Almost surely, 2^9409672800 is an apocalyptic number.

9409672800 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 9409672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215082656).

9409672800 is an abundant number, since it is smaller than the sum of its proper divisors (29020492512).

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

9409672800 is a wasteful number, since it uses less digits than its factorization.

9409672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9409672800 is about 97003.4679792429. The cubic root of 9409672800 is about 2111.1779471197.

The spelling of 9409672800 in words is "nine billion, four hundred nine million, six hundred seventy-two thousand, eight hundred".