9950647046400 has 3456 divisors, whose sum is σ = 43096441651200. Its totient is φ = 2257403904000.

The previous prime is 9950647046339. The next prime is 9950647046407. The reversal of 9950647046400 is 46407460599.

It is a happy number.

9950647046400 is a `hidden beast` number, since 9 + 9 + 50 + 64 + 70 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 (9950647046407) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 140149958365 + ... + 140149958435.

It is an arithmetic number, because the mean of its divisors is an integer number (12470035200).

Almost surely, 2^{9950647046400} is an apocalyptic number.

9950647046400 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 9950647046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21548220825600).

9950647046400 is an abundant number, since it is smaller than the sum of its proper divisors (33145794604800).

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

9950647046400 is a wasteful number, since it uses less digits than its factorization.

9950647046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 9950647046400 in words is "nine trillion, nine hundred fifty billion, six hundred forty-seven million, forty-six thousand, four hundred".