9950646564 has 72 divisors (see below), whose sum is σ = 25518179232. Its totient is φ = 3268926720.

The previous prime is 9950646527. The next prime is 9950646581. The reversal of 9950646564 is 4656460599.

9950646564 is a `hidden beast` number, since 99 + 506 + 46 + 5 + 6 + 4 = 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 self number, because there is not a number n which added to its sum of digits gives 9950646564.

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 23 ways as a sum of consecutive naturals, for example, 1289959 + ... + 1297649.

It is an arithmetic number, because the mean of its divisors is an integer number (354419156).

Almost surely, 2^9950646564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9950646564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759089616).

9950646564 is an abundant number, since it is smaller than the sum of its proper divisors (15567532668).

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

9950646564 is a wasteful number, since it uses less digits than its factorization.

9950646564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The square root of 9950646564 is about 99752.9275961362. The cubic root of 9950646564 is about 2150.8845514063.

It can be divided in two parts, 99506 and 46564, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 9950646564 in words is "nine billion, nine hundred fifty million, six hundred forty-six thousand, five hundred sixty-four".