9905468072 has 16 divisors (see below), whose sum is σ = 18923182740. Its totient is φ = 4859286016.

The previous prime is 9905468071. The next prime is 9905468107. The reversal of 9905468072 is 2708645099.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9901444036 + 4024036 = 99506^2 + 2006^2 .

It is a super-2 number, since 2×9905468072² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9905468072.

It is not an unprimeable number, because it can be changed into a prime (9905468071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11680553 + ... + 11681400.

Almost surely, 2^9905468072 is an apocalyptic number.

It is an amenable number.

9905468072 is a deficient number, since it is larger than the sum of its proper divisors (9017714668).

9905468072 is a wasteful number, since it uses less digits than its factorization.

9905468072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23362012 (or 23362008 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 9905468072 is about 99526.2180131447. The cubic root of 9905468072 is about 2147.6244229814.

The spelling of 9905468072 in words is "nine billion, nine hundred five million, four hundred sixty-eight thousand, seventy-two".