9950791680 has 672 divisors, whose sum is σ = 37811854080. Its totient is φ = 2508226560.

The previous prime is 9950791633. The next prime is 9950791687. The reversal of 9950791680 is 861970599.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9950791687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 231413739 + ... + 231413781.

It is an arithmetic number, because the mean of its divisors is an integer number (56267640).

Almost surely, 2^9950791680 is an apocalyptic number.

9950791680 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 9950791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905927040).

9950791680 is an abundant number, since it is smaller than the sum of its proper divisors (27861062400).

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

9950791680 is an equidigital number, since it uses as much as digits as its factorization.

9950791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 9950791680 is about 99753.6549706325. The cubic root of 9950791680 is about 2150.8950072175.

The spelling of 9950791680 in words is "nine billion, nine hundred fifty million, seven hundred ninety-one thousand, six hundred eighty".