9965754936 has 96 divisors (see below), whose sum is σ = 28243481760. Its totient is φ = 3171108096.

The previous prime is 9965754817. The next prime is 9965755043. The reversal of 9965754936 is 6394575699.

9965754936 is a `hidden beast` number, since 9 + 9 + 6 + 57 + 549 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105901 + ... + 176483.

It is an arithmetic number, because the mean of its divisors is an integer number (294202935).

Almost surely, 2^9965754936 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 9965754936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14121740880).

9965754936 is an abundant number, since it is smaller than the sum of its proper divisors (18277726824).

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

9965754936 is a wasteful number, since it uses less digits than its factorization.

9965754936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70685 (or 70678 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The square root of 9965754936 is about 99828.6278379103. The cubic root of 9965754936 is about 2151.9725855972.

The spelling of 9965754936 in words is "nine billion, nine hundred sixty-five million, seven hundred fifty-four thousand, nine hundred thirty-six".