9942735920 has 80 divisors (see below), whose sum is σ = 24955590240. Its totient is φ = 3662241792.

The previous prime is 9942735899. The next prime is 9942735937. The reversal of 9942735920 is 295372499.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424352 + ... + 447168.

It is an arithmetic number, because the mean of its divisors is an integer number (311944878).

Almost surely, 2^9942735920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942735920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477795120).

9942735920 is an abundant number, since it is smaller than the sum of its proper divisors (15012854320).

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

9942735920 is a wasteful number, since it uses less digits than its factorization.

9942735920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23262 (or 23256 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The square root of 9942735920 is about 99713.2685253071. The cubic root of 9942735920 is about 2150.3144245397.

The spelling of 9942735920 in words is "nine billion, nine hundred forty-two million, seven hundred thirty-five thousand, nine hundred twenty".