9629410368 has 448 divisors, whose sum is σ = 30513162240. Its totient is φ = 2656862208.

The previous prime is 9629410361. The next prime is 9629410369. The reversal of 9629410368 is 8630149269.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 (9629410361) 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, 61333746 + ... + 61333902.

Almost surely, 2^9629410368 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 9629410368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15256581120).

9629410368 is an abundant number, since it is smaller than the sum of its proper divisors (20883751872).

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

9629410368 is a wasteful number, since it uses less digits than its factorization.

9629410368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

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

The square root of 9629410368 is about 98129.5590940874. The cubic root of 9629410368 is about 2127.4852854658.

The spelling of 9629410368 in words is "nine billion, six hundred twenty-nine million, four hundred ten thousand, three hundred sixty-eight".