9165920400 has 720 divisors, whose sum is σ = 40017577600. Its totient is φ = 1930521600.

The previous prime is 9165920383. The next prime is 9165920437. The reversal of 9165920400 is 40295619.

9165920400 is a `hidden beast` number, since 9 + 165 + 92 + 0 + 400 = 666.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16052115 + ... + 16052685.

Almost surely, 2^9165920400 is an apocalyptic number.

9165920400 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 9165920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20008788800).

9165920400 is an abundant number, since it is smaller than the sum of its proper divisors (30851657200).

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

9165920400 is a wasteful number, since it uses less digits than its factorization.

9165920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9165920400 is about 95738.8134457494. The cubic root of 9165920400 is about 2092.7885977165.

The spelling of 9165920400 in words is "nine billion, one hundred sixty-five million, nine hundred twenty thousand, four hundred".