8529638400 has 198 divisors, whose sum is σ = 30540965702. Its totient is φ = 2274508800.

The previous prime is 8529638371. The next prime is 8529638419. The reversal of 8529638400 is 48369258.

8529638400 is a `hidden beast` number, since 8 + 5 + 2 + 9 + 638 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 746496 + 8528891904 = 864^2 + 92352^2 .

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 (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 211890 + ... + 248910.

Almost surely, 2^8529638400 is an apocalyptic number.

8529638400 is a gapful number since it is divisible by the number (80) 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 8529638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270482851).

8529638400 is an abundant number, since it is smaller than the sum of its proper divisors (22011327302).

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

8529638400 is a wasteful number, since it uses less digits than its factorization.

8529638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37057 (or 37031 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8529638400 is about 92356.0414916101. The cubic root of 8529638400 is about 2043.1968331497.

The spelling of 8529638400 in words is "eight billion, five hundred twenty-nine million, six hundred thirty-eight thousand, four hundred".