9975833070 has 192 divisors, whose sum is σ = 30288997440. Its totient is φ = 2087866368.

The previous prime is 9975833057. The next prime is 9975833083. The reversal of 9975833070 is 703385799.

It is a happy number.

9975833070 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9975833057) and next prime (9975833083).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 95 ways as a sum of consecutive naturals, for example, 919236 + ... + 930024.

It is an arithmetic number, because the mean of its divisors is an integer number (157755195).

Almost surely, 2^9975833070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975833070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144498720).

9975833070 is an abundant number, since it is smaller than the sum of its proper divisors (20313164370).

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

9975833070 is a wasteful number, since it uses less digits than its factorization.

9975833070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10867 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 9975833070 is about 99879.0922565879. The cubic root of 9975833070 is about 2152.6977543213.

The spelling of 9975833070 in words is "nine billion, nine hundred seventy-five million, eight hundred thirty-three thousand, seventy".