9950054976 has 336 divisors, whose sum is σ = 31453531200. Its totient is φ = 2995163136.

The previous prime is 9950054971. The next prime is 9950054981. The reversal of 9950054976 is 6794500599.

9950054976 is a `hidden beast` number, since 9 + 95 + 0 + 0 + 549 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (9950054971) and next prime (9950054981).

It is not an unprimeable number, because it can be changed into a prime (9950054971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33959086 + ... + 33959378.

It is an arithmetic number, because the mean of its divisors is an integer number (93611700).

Almost surely, 2^9950054976 is an apocalyptic number.

9950054976 is a gapful number since it is divisible by the number (96) 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 9950054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726765600).

9950054976 is an abundant number, since it is smaller than the sum of its proper divisors (21503476224).

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

9950054976 is a wasteful number, since it uses less digits than its factorization.

9950054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 9950054976 is about 99749.9622857072. The cubic root of 9950054976 is about 2150.8419256098.

It can be divided in two parts, 99500549 and 76, that added together give a square (99500625 = 9975²).

The spelling of 9950054976 in words is "nine billion, nine hundred fifty million, fifty-four thousand, nine hundred seventy-six".