9964019520 has 1792 divisors, whose sum is σ = 49158144000. Its totient is φ = 1839366144.

The previous prime is 9964019519. The next prime is 9964019537. The reversal of 9964019520 is 259104699.

9964019520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 343586866 + ... + 343586894.

It is an arithmetic number, because the mean of its divisors is an integer number (27432000).

Almost surely, 2^9964019520 is an apocalyptic number.

9964019520 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 9964019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579072000).

9964019520 is an abundant number, since it is smaller than the sum of its proper divisors (39194124480).

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

9964019520 is a wasteful number, since it uses less digits than its factorization.

9964019520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9964019520 is about 99819.9354838501. The cubic root of 9964019520 is about 2151.8476649906.

The spelling of 9964019520 in words is "nine billion, nine hundred sixty-four million, nineteen thousand, five hundred twenty".