9680968440 has 384 divisors, whose sum is σ = 37135687680. Its totient is φ = 2156313600.

The previous prime is 9680968417. The next prime is 9680968463. The reversal of 9680968440 is 448690869.

It is an interprime number because it is at equal distance from previous prime (9680968417) and next prime (9680968463).

It is a super-2 number, since 2×9680968440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19716595 + ... + 19717085.

It is an arithmetic number, because the mean of its divisors is an integer number (96707520).

Almost surely, 2^9680968440 is an apocalyptic number.

9680968440 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 9680968440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567843840).

9680968440 is an abundant number, since it is smaller than the sum of its proper divisors (27454719240).

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

9680968440 is a wasteful number, since it uses less digits than its factorization.

9680968440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9680968440 is about 98391.9124725198. The cubic root of 9680968440 is about 2131.2755436033.

The spelling of 9680968440 in words is "nine billion, six hundred eighty million, nine hundred sixty-eight thousand, four hundred forty".