9935861760 has 672 divisors, whose sum is σ = 39315734640. Its totient is φ = 2408693760.

The previous prime is 9935861737. The next prime is 9935861773. The reversal of 9935861760 is 671685399.

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 = 9935861697 and 9935861706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 903260155 + ... + 903260165.

Almost surely, 2^9935861760 is an apocalyptic number.

9935861760 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 9935861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19657867320).

9935861760 is an abundant number, since it is smaller than the sum of its proper divisors (29379872880).

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

9935861760 is an frugal number, since it uses more digits than its factorization.

9935861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9935861760 is about 99678.7929300912. The cubic root of 9935861760 is about 2149.8187523432.

The spelling of 9935861760 in words is "nine billion, nine hundred thirty-five million, eight hundred sixty-one thousand, seven hundred sixty".