5675673600 has 432 divisors, whose sum is σ = 20694573900. Its totient is φ = 1486356480.

The previous prime is 5675673589. The next prime is 5675673617. The reversal of 5675673600 is 63765765.

5675673600 is a `hidden beast` number, since 56 + 7 + 567 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 937829376 + 4737844224 = 30624^2 + 68832^2 .

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50227144 + ... + 50227256.

Almost surely, 2^5675673600 is an apocalyptic number.

5675673600 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 5675673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347286950).

5675673600 is an abundant number, since it is smaller than the sum of its proper divisors (15018900300).

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

5675673600 is a wasteful number, since it uses less digits than its factorization.

5675673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 5675673600 is about 75337.0665741639. The cubic root of 5675673600 is about 1783.7711571439.

The spelling of 5675673600 in words is "five billion, six hundred seventy-five million, six hundred seventy-three thousand, six hundred".