9950484960 has 384 divisors, whose sum is σ = 37770485760. Its totient is φ = 2432083968.

The previous prime is 9950484941. The next prime is 9950484991. The reversal of 9950484960 is 694840599.

9950484960 is a `hidden beast` number, since 99 + 504 + 8 + 49 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 9950484897 and 9950484906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9153537 + ... + 9154623.

It is an arithmetic number, because the mean of its divisors is an integer number (98360640).

Almost surely, 2^9950484960 is an apocalyptic number.

9950484960 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 9950484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18885242880).

9950484960 is an abundant number, since it is smaller than the sum of its proper divisors (27820000800).

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

9950484960 is a wasteful number, since it uses less digits than its factorization.

9950484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9950484960 is about 99752.1175715082. The cubic root of 9950484960 is about 2150.8729074919.

The spelling of 9950484960 in words is "nine billion, nine hundred fifty million, four hundred eighty-four thousand, nine hundred sixty".