5566334400 has 252 divisors, whose sum is σ = 21583232424. Its totient is φ = 1349376000.

The previous prime is 5566334377. The next prime is 5566334441. The reversal of 5566334400 is 44336655.

5566334400 is a `hidden beast` number, since 556 + 63 + 3 + 4 + 40 + 0 = 666.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140830 + ... + 175970.

Almost surely, 2^5566334400 is an apocalyptic number.

5566334400 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 5566334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10791616212).

5566334400 is an abundant number, since it is smaller than the sum of its proper divisors (16016898024).

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

5566334400 is a wasteful number, since it uses less digits than its factorization.

5566334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35180 (or 35162 counting only the distinct ones).

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

The square root of 5566334400 is about 74607.8708984515. The cubic root of 5566334400 is about 1772.2422984630.

The spelling of 5566334400 in words is "five billion, five hundred sixty-six million, three hundred thirty-four thousand, four hundred".