9964918600 has 192 divisors, whose sum is σ = 30016828800. Its totient is φ = 2987642880.

The previous prime is 9964918589. The next prime is 9964918609. The reversal of 9964918600 is 68194699.

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

It is not an unprimeable number, because it can be changed into a prime (9964918609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331392 + ... + 360208.

It is an arithmetic number, because the mean of its divisors is an integer number (156337650).

Almost surely, 2^9964918600 is an apocalyptic number.

9964918600 is the 57634-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9964918600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15008414400).

9964918600 is an abundant number, since it is smaller than the sum of its proper divisors (20051910200).

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

9964918600 is a wasteful number, since it uses less digits than its factorization.

9964918600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28872 (or 28863 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The square root of 9964918600 is about 99824.4388914859. The cubic root of 9964918600 is about 2151.9123853580.

The spelling of 9964918600 in words is "nine billion, nine hundred sixty-four million, nine hundred eighteen thousand, six hundred".