5675758200 has 576 divisors, whose sum is σ = 23067720000. Its totient is φ = 1248629760.

The previous prime is 5675758177. The next prime is 5675758241. The reversal of 5675758200 is 28575765.

5675758200 is a `hidden beast` number, since 5 + 67 + 5 + 7 + 582 + 0 + 0 = 666.

It is a super-2 number, since 2×5675758200² = 64428462289734480000, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 17904442 + ... + 17904758.

It is an arithmetic number, because the mean of its divisors is an integer number (40048125).

Almost surely, 2^5675758200 is an apocalyptic number.

5675758200 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 5675758200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11533860000).

5675758200 is an abundant number, since it is smaller than the sum of its proper divisors (17391961800).

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

5675758200 is a wasteful number, since it uses less digits than its factorization.

5675758200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 5675758200 is about 75337.6280486717. The cubic root of 5675758200 is about 1783.7800198975.

The spelling of 5675758200 in words is "five billion, six hundred seventy-five million, seven hundred fifty-eight thousand, two hundred".