9753836400 has 960 divisors, whose sum is σ = 44592860160. Its totient is φ = 1965772800.

The previous prime is 9753836387. The next prime is 9753836401. The reversal of 9753836400 is 46383579.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9753836401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30769042 + ... + 30769358.

It is an arithmetic number, because the mean of its divisors is an integer number (46450896).

Almost surely, 2^9753836400 is an apocalyptic number.

9753836400 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 9753836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22296430080).

9753836400 is an abundant number, since it is smaller than the sum of its proper divisors (34839023760).

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

9753836400 is a wasteful number, since it uses less digits than its factorization.

9753836400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 9753836400 is about 98761.5127466160. The cubic root of 9753836400 is about 2136.6095028716.

The spelling of 9753836400 in words is "nine billion, seven hundred fifty-three million, eight hundred thirty-six thousand, four hundred".