9813389760 has 784 divisors, whose sum is σ = 38378465280. Its totient is φ = 2381322240.

The previous prime is 9813389759. The next prime is 9813389797. The reversal of 9813389760 is 679833189.

It is a super-3 number, since 3×9813389760³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9813389697 and 9813389706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 166328611 + ... + 166328669.

Almost surely, 2^9813389760 is an apocalyptic number.

9813389760 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 9813389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189232640).

9813389760 is an abundant number, since it is smaller than the sum of its proper divisors (28565075520).

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

9813389760 is a wasteful number, since it uses less digits than its factorization.

9813389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9813389760 is about 99062.5547823192. The cubic root of 9813389760 is about 2140.9491349784.

The spelling of 9813389760 in words is "nine billion, eight hundred thirteen million, three hundred eighty-nine thousand, seven hundred sixty".