9747882144 has 1080 divisors, whose sum is σ = 41113705248. Its totient is φ = 2199674880.

The previous prime is 9747882071. The next prime is 9747882163. The reversal of 9747882144 is 4412887479.

9747882144 is a `hidden beast` number, since 97 + 478 + 82 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 573404824 + ... + 573404840.

Almost surely, 2^9747882144 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 9747882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556852624).

9747882144 is an abundant number, since it is smaller than the sum of its proper divisors (31365823104).

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

9747882144 is a wasteful number, since it uses less digits than its factorization.

9747882144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 9747882144 is about 98731.3635275033. The cubic root of 9747882144 is about 2136.1746480098.

The spelling of 9747882144 in words is "nine billion, seven hundred forty-seven million, eight hundred eighty-two thousand, one hundred forty-four".