9763973760 has 256 divisors, whose sum is σ = 31924368000. Its totient is φ = 2537373696.

The previous prime is 9763973759. The next prime is 9763973761. The reversal of 9763973760 is 673793679.

It is an interprime number because it is at equal distance from previous prime (9763973759) and next prime (9763973761).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9763973760.

It is not an unprimeable number, because it can be changed into a prime (9763973761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23302831 + ... + 23303249.

Almost surely, 2^9763973760 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 9763973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962184000).

9763973760 is an abundant number, since it is smaller than the sum of its proper divisors (22160394240).

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

9763973760 is a wasteful number, since it uses less digits than its factorization.

9763973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 9001692, while the sum is 57.

The square root of 9763973760 is about 98812.8218400831. The cubic root of 9763973760 is about 2137.3494537793.

The spelling of 9763973760 in words is "nine billion, seven hundred sixty-three million, nine hundred seventy-three thousand, seven hundred sixty".