9744295680 has 576 divisors, whose sum is σ = 40406446080. Its totient is φ = 2177335296.

The previous prime is 9744295679. The next prime is 9744295697. The reversal of 9744295680 is 865924479.

9744295680 is a `hidden beast` number, since 9 + 74 + 4 + 2 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11369812 + ... + 11370668.

It is an arithmetic number, because the mean of its divisors is an integer number (70150080).

Almost surely, 2^9744295680 is an apocalyptic number.

9744295680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9744295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20203223040).

9744295680 is an abundant number, since it is smaller than the sum of its proper divisors (30662150400).

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

9744295680 is a wasteful number, since it uses less digits than its factorization.

9744295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 9744295680 is about 98713.1991174433. The cubic root of 9744295680 is about 2135.9126337199.

The spelling of 9744295680 in words is "nine billion, seven hundred forty-four million, two hundred ninety-five thousand, six hundred eighty".