5668378800 has 180 divisors, whose sum is σ = 21122449416. Its totient is φ = 1295616000.

The previous prime is 5668378787. The next prime is 5668378801. The reversal of 5668378800 is 88738665.

It is not an unprimeable number, because it can be changed into a prime (5668378801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10600 + ... + 107000.

Almost surely, 2^5668378800 is an apocalyptic number.

5668378800 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 5668378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561224708).

5668378800 is an abundant number, since it is smaller than the sum of its proper divisors (15454070616).

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

5668378800 is a wasteful number, since it uses less digits than its factorization.

5668378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96436 (or 96418 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 5668378800 is about 75288.6365927820. The cubic root of 5668378800 is about 1783.0066174897.

The spelling of 5668378800 in words is "five billion, six hundred sixty-eight million, three hundred seventy-eight thousand, eight hundred".