5673704400 has 960 divisors, whose sum is σ = 26038333440. Its totient is φ = 1140480000.

The previous prime is 5673704383. The next prime is 5673704419. The reversal of 5673704400 is 44073765.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22604275 + ... + 22604525.

It is an arithmetic number, because the mean of its divisors is an integer number (27123264).

Almost surely, 2^5673704400 is an apocalyptic number.

5673704400 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 5673704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13019166720).

5673704400 is an abundant number, since it is smaller than the sum of its proper divisors (20364629040).

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

5673704400 is a wasteful number, since it uses less digits than its factorization.

5673704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 5673704400 is about 75323.9961765173. The cubic root of 5673704400 is about 1783.5648375229.

The spelling of 5673704400 in words is "five billion, six hundred seventy-three million, seven hundred four thousand, four hundred".