9416036160 has 504 divisors, whose sum is σ = 35763829920. Its totient is φ = 2357600256.

The previous prime is 9416036141. The next prime is 9416036173. The reversal of 9416036160 is 616306149.

9416036160 is a `hidden beast` number, since 9 + 41 + 603 + 6 + 1 + 6 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 22472431 + ... + 22472849.

It is an arithmetic number, because the mean of its divisors is an integer number (70959980).

Almost surely, 2^9416036160 is an apocalyptic number.

9416036160 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 9416036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881914960).

9416036160 is an abundant number, since it is smaller than the sum of its proper divisors (26347793760).

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

9416036160 is a wasteful number, since it uses less digits than its factorization.

9416036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9416036160 is about 97036.2620879432. The cubic root of 9416036160 is about 2111.6537397217.

The spelling of 9416036160 in words is "nine billion, four hundred sixteen million, thirty-six thousand, one hundred sixty".