9749572560 has 640 divisors, whose sum is σ = 41707330560. Its totient is φ = 2038431744.

The previous prime is 9749572541. The next prime is 9749572579. The reversal of 9749572560 is 652759479.

9749572560 is a `hidden beast` number, since 9 + 7 + 4 + 9 + 5 + 72 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (9749572541) and next prime (9749572579).

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

It is a junction number, because it is equal to n+sod(n) for n = 9749572497 and 9749572506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37935952 + ... + 37936208.

It is an arithmetic number, because the mean of its divisors is an integer number (65167704).

Almost surely, 2^9749572560 is an apocalyptic number.

9749572560 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 9749572560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20853665280).

9749572560 is an abundant number, since it is smaller than the sum of its proper divisors (31957758000).

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

9749572560 is a wasteful number, since it uses less digits than its factorization.

9749572560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 9749572560 is about 98739.9238403595. The cubic root of 9749572560 is about 2136.2981215000.

The spelling of 9749572560 in words is "nine billion, seven hundred forty-nine million, five hundred seventy-two thousand, five hundred sixty".