5506174800 has 480 divisors, whose sum is σ = 22580578560. Its totient is φ = 1248307200.

The previous prime is 5506174783. The next prime is 5506174819. The reversal of 5506174800 is 84716055.

5506174800 is a `hidden beast` number, since 5 + 506 + 1 + 74 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13078590 + ... + 13079010.

It is an arithmetic number, because the mean of its divisors is an integer number (47042872).

Almost surely, 2^5506174800 is an apocalyptic number.

5506174800 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 5506174800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11290289280).

5506174800 is an abundant number, since it is smaller than the sum of its proper divisors (17074403760).

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

5506174800 is a wasteful number, since it uses less digits than its factorization.

5506174800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5506174800 is about 74203.6036860744. The cubic root of 5506174800 is about 1765.8345022711.

The spelling of 5506174800 in words is "five billion, five hundred six million, one hundred seventy-four thousand, eight hundred".