9946772640 has 432 divisors, whose sum is σ = 40855094280. Its totient is φ = 2194698240.

The previous prime is 9946772609. The next prime is 9946772659. The reversal of 9946772640 is 462776499.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9543726864 + 403045776 = 97692^2 + 20076^2 .

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, 2043810 + ... + 2048670.

Almost surely, 2^9946772640 is an apocalyptic number.

9946772640 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 9946772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427547140).

9946772640 is an abundant number, since it is smaller than the sum of its proper divisors (30908321640).

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

9946772640 is a wasteful number, since it uses less digits than its factorization.

9946772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 9946772640 is about 99733.5081103638. The cubic root of 9946772640 is about 2150.6053921655.

The spelling of 9946772640 in words is "nine billion, nine hundred forty-six million, seven hundred seventy-two thousand, six hundred forty".