9953256768 has 224 divisors, whose sum is σ = 32826716160. Its totient is φ = 2591447040.

The previous prime is 9953256767. The next prime is 9953256791. The reversal of 9953256768 is 8676523599.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9953256767) 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 31 ways as a sum of consecutive naturals, for example, 1376683 + ... + 1383893.

It is an arithmetic number, because the mean of its divisors is an integer number (146547840).

Almost surely, 2^9953256768 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 9953256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413358080).

9953256768 is an abundant number, since it is smaller than the sum of its proper divisors (22873459392).

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

9953256768 is a wasteful number, since it uses less digits than its factorization.

9953256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7325 (or 7315 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 60.

The square root of 9953256768 is about 99766.0100835951. The cubic root of 9953256768 is about 2151.0726047351.

The spelling of 9953256768 in words is "nine billion, nine hundred fifty-three million, two hundred fifty-six thousand, seven hundred sixty-eight".