5675918400 has 672 divisors, whose sum is σ = 21974129280. Its totient is φ = 1423319040.

The previous prime is 5675918341. The next prime is 5675918447. The reversal of 5675918400 is 48195765.

5675918400 is a `hidden beast` number, since 56 + 7 + 591 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 84715167 + ... + 84715233.

Almost surely, 2^5675918400 is an apocalyptic number.

5675918400 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 5675918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10987064640).

5675918400 is an abundant number, since it is smaller than the sum of its proper divisors (16298210880).

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

5675918400 is a wasteful number, since it uses less digits than its factorization.

5675918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5675918400 is about 75338.6912548924. The cubic root of 5675918400 is about 1783.7968023173.

The spelling of 5675918400 in words is "five billion, six hundred seventy-five million, nine hundred eighteen thousand, four hundred".