9416736000 has 864 divisors, whose sum is σ = 40391140608. Its totient is φ = 2139955200.

The previous prime is 9416735989. The next prime is 9416736013. The reversal of 9416736000 is 6376149.

9416736000 is a `hidden beast` number, since 9 + 41 + 6 + 7 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54431914 + ... + 54432086.

Almost surely, 2^9416736000 is an apocalyptic number.

9416736000 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 9416736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195570304).

9416736000 is an abundant number, since it is smaller than the sum of its proper divisors (30974404608).

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

9416736000 is an equidigital number, since it uses as much as digits as its factorization.

9416736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9416736000 is about 97039.8680955410. The cubic root of 9416736000 is about 2111.7060541322.

The spelling of 9416736000 in words is "nine billion, four hundred sixteen million, seven hundred thirty-six thousand".