9936482400 has 432 divisors, whose sum is σ = 38464944336. Its totient is φ = 2398556160.

The previous prime is 9936482377. The next prime is 9936482419. The reversal of 9936482400 is 42846399.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4959799 + ... + 4961801.

It is an arithmetic number, because the mean of its divisors is an integer number (89039223).

Almost surely, 2^9936482400 is an apocalyptic number.

9936482400 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 9936482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232472168).

9936482400 is an abundant number, since it is smaller than the sum of its proper divisors (28528461936).

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

9936482400 is a wasteful number, since it uses less digits than its factorization.

9936482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9936482400 is about 99681.9060812944. The cubic root of 9936482400 is about 2149.8635139606.

The spelling of 9936482400 in words is "nine billion, nine hundred thirty-six million, four hundred eighty-two thousand, four hundred".