5423680800 has 432 divisors, whose sum is σ = 19890555048. Its totient is φ = 1389772800.

The previous prime is 5423680793. The next prime is 5423680817. The reversal of 5423680800 is 80863245.

5423680800 is a `hidden beast` number, since 542 + 36 + 8 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 49617936 + 5374062864 = 7044^2 + 73308^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 23277484 + ... + 23277716.

Almost surely, 2^5423680800 is an apocalyptic number.

5423680800 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 5423680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945277524).

5423680800 is an abundant number, since it is smaller than the sum of its proper divisors (14466874248).

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

5423680800 is a wasteful number, since it uses less digits than its factorization.

5423680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5423680800 is about 73645.6434556722. The cubic root of 5423680800 is about 1756.9714617106.

The spelling of 5423680800 in words is "five billion, four hundred twenty-three million, six hundred eighty thousand, eight hundred".