9968303070 has 480 divisors, whose sum is σ = 31910487840. Its totient is φ = 2223936000.

The previous prime is 9968303069. The next prime is 9968303101. The reversal of 9968303070 is 703038699.

It is a happy number.

9968303070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9968303070³ (a number of 31 digits) contains 333 as substring.

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 239 ways as a sum of consecutive naturals, for example, 98696020 + ... + 98696120.

It is an arithmetic number, because the mean of its divisors is an integer number (66480183).

Almost surely, 2^9968303070 is an apocalyptic number.

9968303070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9968303070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15955243920).

9968303070 is an abundant number, since it is smaller than the sum of its proper divisors (21942184770).

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

9968303070 is a wasteful number, since it uses less digits than its factorization.

9968303070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9968303070 is about 99841.3895636474. The cubic root of 9968303070 is about 2152.1559818796.

The spelling of 9968303070 in words is "nine billion, nine hundred sixty-eight million, three hundred three thousand, seventy".