9813763960 has 256 divisors, whose sum is σ = 30014530560. Its totient is φ = 2788577280.

The previous prime is 9813763951. The next prime is 9813764021. The reversal of 9813763960 is 693673189.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 9813763898 and 9813763907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3321844 + ... + 3324796.

It is an arithmetic number, because the mean of its divisors is an integer number (117244260).

Almost surely, 2^9813763960 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 9813763960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007265280).

9813763960 is an abundant number, since it is smaller than the sum of its proper divisors (20200766600).

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

9813763960 is a wasteful number, since it uses less digits than its factorization.

9813763960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The square root of 9813763960 is about 99064.4434698949. The cubic root of 9813763960 is about 2140.9763472195.

The spelling of 9813763960 in words is "nine billion, eight hundred thirteen million, seven hundred sixty-three thousand, nine hundred sixty".