9763872768 has 336 divisors, whose sum is σ = 31057449696. Its totient is φ = 2937323520.

The previous prime is 9763872763. The next prime is 9763872773. The reversal of 9763872768 is 8672783679.

It is an interprime number because it is at equal distance from previous prime (9763872763) and next prime (9763872773).

It is a super-2 number, since 2×9763872768² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9763872763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58466221 + ... + 58466387.

It is an arithmetic number, because the mean of its divisors is an integer number (92432886).

Almost surely, 2^9763872768 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 9763872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528724848).

9763872768 is an abundant number, since it is smaller than the sum of its proper divisors (21293576928).

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

9763872768 is a wasteful number, since it uses less digits than its factorization.

9763872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The square root of 9763872768 is about 98812.3108119631. The cubic root of 9763872768 is about 2137.3420846505.

The spelling of 9763872768 in words is "nine billion, seven hundred sixty-three million, eight hundred seventy-two thousand, seven hundred sixty-eight".