9764972560 has 80 divisors (see below), whose sum is σ = 25976765952. Its totient is φ = 3344140800.

The previous prime is 9764972557. The next prime is 9764972563. The reversal of 9764972560 is 652794679.

It is an interprime number because it is at equal distance from previous prime (9764972557) and next prime (9764972563).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (9764972563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500590 + ... + 519730.

Almost surely, 2^9764972560 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 9764972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12988382976).

9764972560 is an abundant number, since it is smaller than the sum of its proper divisors (16211793392).

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

9764972560 is a wasteful number, since it uses less digits than its factorization.

9764972560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20072 (or 20066 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The square root of 9764972560 is about 98817.8757108247. The cubic root of 9764972560 is about 2137.4223309329.

The spelling of 9764972560 in words is "nine billion, seven hundred sixty-four million, nine hundred seventy-two thousand, five hundred sixty".