9740654560 has 768 divisors, whose sum is σ = 32920473600. Its totient is φ = 2634153984.

The previous prime is 9740654533. The next prime is 9740654569. The reversal of 9740654560 is 654560479.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 9740654560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9740654569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165095811 + ... + 165095869.

It is an arithmetic number, because the mean of its divisors is an integer number (42865200).

Almost surely, 2^9740654560 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 9740654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16460236800).

9740654560 is an abundant number, since it is smaller than the sum of its proper divisors (23179819040).

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

9740654560 is a wasteful number, since it uses less digits than its factorization.

9740654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The square root of 9740654560 is about 98694.7544705391. The cubic root of 9740654560 is about 2135.6465606809.

The spelling of 9740654560 in words is "nine billion, seven hundred forty million, six hundred fifty-four thousand, five hundred sixty".