9163742400 has 252 divisors, whose sum is σ = 33187398192. Its totient is φ = 2397358080.

The previous prime is 9163742377. The next prime is 9163742411. The reversal of 9163742400 is 42473619.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 757197 + ... + 769203.

Almost surely, 2^9163742400 is an apocalyptic number.

9163742400 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 9163742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593699096).

9163742400 is an abundant number, since it is smaller than the sum of its proper divisors (24023655792).

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

9163742400 is a wasteful number, since it uses less digits than its factorization.

9163742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12088 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9163742400 is about 95727.4380728953. The cubic root of 9163742400 is about 2092.6228222336.

The spelling of 9163742400 in words is "nine billion, one hundred sixty-three million, seven hundred forty-two thousand, four hundred".