9763798968 has 320 divisors, whose sum is σ = 34541337600. Its totient is φ = 2502938880.

The previous prime is 9763798949. The next prime is 9763798969. The reversal of 9763798968 is 8698973679.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (246903552) is a multiple of the sum of its prime factors (2592).

It is a junction number, because it is equal to n+sod(n) for n = 9763798896 and 9763798905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9763798969) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3940546 + ... + 3943022.

It is an arithmetic number, because the mean of its divisors is an integer number (107941680).

Almost surely, 2^9763798968 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 9763798968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17270668800).

9763798968 is an abundant number, since it is smaller than the sum of its proper divisors (24777538632).

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

9763798968 is a wasteful number, since it uses less digits than its factorization.

9763798968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2579 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The square root of 9763798968 is about 98811.9373760074. The cubic root of 9763798968 is about 2137.3366996206.

The spelling of 9763798968 in words is "nine billion, seven hundred sixty-three million, seven hundred ninety-eight thousand, nine hundred sixty-eight".