9206046720 has 672 divisors, whose sum is σ = 36710764272. Its totient is φ = 2113929216.

The previous prime is 9206046709. The next prime is 9206046721. The reversal of 9206046720 is 276406029.

It is a happy number.

9206046720 is a `hidden beast` number, since 9 + 20 + 604 + 6 + 7 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1028100096 + 8177946624 = 32064^2 + 90432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9206046721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81469384 + ... + 81469496.

Almost surely, 2^9206046720 is an apocalyptic number.

9206046720 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 9206046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355382136).

9206046720 is an abundant number, since it is smaller than the sum of its proper divisors (27504717552).

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

9206046720 is a wasteful number, since it uses less digits than its factorization.

9206046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

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

The square root of 9206046720 is about 95948.1459956366. The cubic root of 9206046720 is about 2095.8380699640.

The spelling of 9206046720 in words is "nine billion, two hundred six million, forty-six thousand, seven hundred twenty".