9804758400 has 432 divisors, whose sum is σ = 36407173140. Its totient is φ = 2609003520.

The previous prime is 9804758333. The next prime is 9804758429. The reversal of 9804758400 is 48574089.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×9804758400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20994967 + ... + 20995433.

Almost surely, 2^9804758400 is an apocalyptic number.

9804758400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9804758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203586570).

9804758400 is an abundant number, since it is smaller than the sum of its proper divisors (26602414740).

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

9804758400 is an frugal number, since it uses more digits than its factorization.

9804758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 9804758400 is about 99018.9799987861. The cubic root of 9804758400 is about 2140.3212607628.

The spelling of 9804758400 in words is "nine billion, eight hundred four million, seven hundred fifty-eight thousand, four hundred".