9642274880 has 336 divisors, whose sum is σ = 28792572336. Its totient is φ = 3055288320.

The previous prime is 9642274867. The next prime is 9642274883. The reversal of 9642274880 is 884722469.

It can be written as a sum of positive squares in 8 ways, for example, as 267387904 + 9374886976 = 16352^2 + 96824^2 .

It is a super-2 number, since 2×9642274880² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9642274883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16259864 + ... + 16260456.

Almost surely, 2^9642274880 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 9642274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396286168).

9642274880 is an abundant number, since it is smaller than the sum of its proper divisors (19150297456).

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

9642274880 is a wasteful number, since it uses less digits than its factorization.

9642274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The square root of 9642274880 is about 98195.0858240880. The cubic root of 9642274880 is about 2128.4322759870.

The spelling of 9642274880 in words is "nine billion, six hundred forty-two million, two hundred seventy-four thousand, eight hundred eighty".