5675467200 has 336 divisors, whose sum is σ = 21112398720. Its totient is φ = 1323233280.

The previous prime is 5675467199. The next prime is 5675467249. The reversal of 5675467200 is 27645765.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1183207 + ... + 1187993.

It is an arithmetic number, because the mean of its divisors is an integer number (62834520).

Almost surely, 2^5675467200 is an apocalyptic number.

5675467200 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 5675467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10556199360).

5675467200 is an abundant number, since it is smaller than the sum of its proper divisors (15436931520).

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

5675467200 is a wasteful number, since it uses less digits than its factorization.

5675467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 5675467200 is about 75335.6967180898. The cubic root of 5675467200 is about 1783.7495341698.

The spelling of 5675467200 in words is "five billion, six hundred seventy-five million, four hundred sixty-seven thousand, two hundred".