9350046720 has 792 divisors, whose sum is σ = 38988521208. Its totient is φ = 2064384000.

The previous prime is 9350046683. The next prime is 9350046731. The reversal of 9350046720 is 276400539.

9350046720 is a `hidden beast` number, since 93 + 500 + 4 + 67 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 997549056 + 8352497664 = 31584^2 + 91392^2 .

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 71 ways as a sum of consecutive naturals, for example, 92574670 + ... + 92574770.

Almost surely, 2^9350046720 is an apocalyptic number.

9350046720 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 9350046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19494260604).

9350046720 is an abundant number, since it is smaller than the sum of its proper divisors (29638474488).

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

9350046720 is a wasteful number, since it uses less digits than its factorization.

9350046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 9350046720 is about 96695.6396121356. The cubic root of 9350046720 is about 2106.7092088473.

The spelling of 9350046720 in words is "nine billion, three hundred fifty million, forty-six thousand, seven hundred twenty".