9648969480 has 320 divisors, whose sum is σ = 35452961280. Its totient is φ = 2343168000.

The previous prime is 9648969469. The next prime is 9648969493. The reversal of 9648969480 is 849698469.

9648969480 is a `hidden beast` number, since 9 + 64 + 8 + 96 + 9 + 480 = 666.

It is a super-2 number, since 2×9648969480² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1704655 + ... + 1710305.

It is an arithmetic number, because the mean of its divisors is an integer number (110790504).

Almost surely, 2^9648969480 is an apocalyptic number.

9648969480 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 9648969480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726480640).

9648969480 is an abundant number, since it is smaller than the sum of its proper divisors (25803991800).

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

9648969480 is a wasteful number, since it uses less digits than its factorization.

9648969480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The square root of 9648969480 is about 98229.1681732061. The cubic root of 9648969480 is about 2128.9247498926.

The spelling of 9648969480 in words is "nine billion, six hundred forty-eight million, nine hundred sixty-nine thousand, four hundred eighty".