9952944876 has 384 divisors, whose sum is σ = 32256000000. Its totient is φ = 2645068608.

The previous prime is 9952944871. The next prime is 9952944887. The reversal of 9952944876 is 6784492599.

It is a super-2 number, since 2×9952944876² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952944871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55602955 + ... + 55603133.

It is an arithmetic number, because the mean of its divisors is an integer number (84000000).

Almost surely, 2^9952944876 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 9952944876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000000).

9952944876 is an abundant number, since it is smaller than the sum of its proper divisors (22303055124).

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

9952944876 is a wasteful number, since it uses less digits than its factorization.

9952944876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 9952944876 is about 99764.4469538122. The cubic root of 9952944876 is about 2151.0501360645.

The spelling of 9952944876 in words is "nine billion, nine hundred fifty-two million, nine hundred forty-four thousand, eight hundred seventy-six".