9740724480 has 432 divisors, whose sum is σ = 35623486080. Its totient is φ = 2452488192.

The previous prime is 9740724431. The next prime is 9740724493. The reversal of 9740724480 is 844270479.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25700931 + ... + 25701309.

Almost surely, 2^9740724480 is an apocalyptic number.

9740724480 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 9740724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811743040).

9740724480 is an abundant number, since it is smaller than the sum of its proper divisors (25882761600).

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

9740724480 is a wasteful number, since it uses less digits than its factorization.

9740724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 9740724480 is about 98695.1086933897. The cubic root of 9740724480 is about 2135.6516706746.

The spelling of 9740724480 in words is "nine billion, seven hundred forty million, seven hundred twenty-four thousand, four hundred eighty".