9735959940 has 144 divisors (see below), whose sum is σ = 31761217152. Its totient is φ = 2221868544.

The previous prime is 9735959873. The next prime is 9735959941. The reversal of 9735959940 is 499595379.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (9735959941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2182192 + ... + 2186648.

It is an arithmetic number, because the mean of its divisors is an integer number (220564008).

Almost surely, 2^9735959940 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 9735959940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880608576).

9735959940 is an abundant number, since it is smaller than the sum of its proper divisors (22025257212).

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

9735959940 is a wasteful number, since it uses less digits than its factorization.

9735959940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5217 counting only the distinct ones).

The product of its (nonzero) digits is 13778100, while the sum is 60.

The square root of 9735959940 is about 98670.9680706539. The cubic root of 9735959940 is about 2135.3034057745.

The spelling of 9735959940 in words is "nine billion, seven hundred thirty-five million, nine hundred fifty-nine thousand, nine hundred forty".