9749389824 has 320 divisors, whose sum is σ = 30316809600. Its totient is φ = 3089350656.

The previous prime is 9749389817. The next prime is 9749389831. The reversal of 9749389824 is 4289839479.

It is an interprime number because it is at equal distance from previous prime (9749389817) and next prime (9749389831).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (31352832) is a multiple of the sum of its prime factors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33274222 + ... + 33274514.

It is an arithmetic number, because the mean of its divisors is an integer number (94740030).

Almost surely, 2^9749389824 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 9749389824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158404800).

9749389824 is an abundant number, since it is smaller than the sum of its proper divisors (20567419776).

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

9749389824 is a wasteful number, since it uses less digits than its factorization.

9749389824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 410 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 9749389824 is about 98738.9984960350. The cubic root of 9749389824 is about 2136.2847745554.

The spelling of 9749389824 in words is "nine billion, seven hundred forty-nine million, three hundred eighty-nine thousand, eight hundred twenty-four".