9964516320 has 576 divisors, whose sum is σ = 40181266944. Its totient is φ = 2308331520.

The previous prime is 9964516307. The next prime is 9964516321. The reversal of 9964516320 is 236154699.

9964516320 is a `hidden beast` number, since 9 + 9 + 6 + 4 + 5 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 6078 × 270 × 6072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9964516321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9836134 + ... + 9837146.

It is an arithmetic number, because the mean of its divisors is an integer number (69759144).

Almost surely, 2^9964516320 is an apocalyptic number.

9964516320 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 9964516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20090633472).

9964516320 is an abundant number, since it is smaller than the sum of its proper divisors (30216750624).

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

9964516320 is a wasteful number, since it uses less digits than its factorization.

9964516320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9964516320 is about 99822.4239337034. The cubic root of 9964516320 is about 2151.8834276716.

The spelling of 9964516320 in words is "nine billion, nine hundred sixty-four million, five hundred sixteen thousand, three hundred twenty".