9910668432 has 320 divisors, whose sum is σ = 33246443520. Its totient is φ = 2475712512.

The previous prime is 9910668431. The next prime is 9910668433. The reversal of 9910668432 is 2348660199.

It is an interprime number because it is at equal distance from previous prime (9910668431) and next prime (9910668433).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9910668431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5751123 + ... + 5752845.

It is an arithmetic number, because the mean of its divisors is an integer number (103895136).

Almost surely, 2^9910668432 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 9910668432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623221760).

9910668432 is an abundant number, since it is smaller than the sum of its proper divisors (23335775088).

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

9910668432 is a wasteful number, since it uses less digits than its factorization.

9910668432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 9910668432 is about 99552.3401633533. The cubic root of 9910668432 is about 2148.0001907278. Note that the first 3 decimals are identical.

The spelling of 9910668432 in words is "nine billion, nine hundred ten million, six hundred sixty-eight thousand, four hundred thirty-two".