5533466400 has 720 divisors, whose sum is σ = 25181513280. Its totient is φ = 1148774400.

The previous prime is 5533466371. The next prime is 5533466447. The reversal of 5533466400 is 46643355.

5533466400 is a `hidden beast` number, since 5 + 5 + 3 + 3 + 4 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 4989046 + ... + 4990154.

It is an arithmetic number, because the mean of its divisors is an integer number (34974324).

Almost surely, 2^5533466400 is an apocalyptic number.

5533466400 is a gapful number since it is divisible by the number (50) 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 5533466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12590756640).

5533466400 is an abundant number, since it is smaller than the sum of its proper divisors (19648046880).

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

5533466400 is a wasteful number, since it uses less digits than its factorization.

5533466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5533466400 is about 74387.2731050144. The cubic root of 5533466400 is about 1768.7471743474.

The spelling of 5533466400 in words is "five billion, five hundred thirty-three million, four hundred sixty-six thousand, four hundred".