9804762400 has 36 divisors (see below), whose sum is σ = 23935878162. Its totient is φ = 3921904640.

The previous prime is 9804762397. The next prime is 9804762419. The reversal of 9804762400 is 42674089.

It can be written as a sum of positive squares in 3 ways, for example, as 6840613264 + 2964149136 = 82708^2 + 54444^2 .

It is a super-2 number, since 2×9804762400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6127177 + ... + 6128776.

Almost surely, 2^9804762400 is an apocalyptic number.

It is an amenable number.

9804762400 is an abundant number, since it is smaller than the sum of its proper divisors (14131115762).

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

9804762400 is a wasteful number, since it uses less digits than its factorization.

9804762400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12255973 (or 12255960 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 9804762400 is about 99019.0001969319. Note that the first 3 decimals coincide. The cubic root of 9804762400 is about 2140.3215518216.

The spelling of 9804762400 in words is "nine billion, eight hundred four million, seven hundred sixty-two thousand, four hundred".