5675824000 has 512 divisors, whose sum is σ = 18697236480. Its totient is φ = 1658880000.

The previous prime is 5675823991. The next prime is 5675824019. The reversal of 5675824000 is 4285765.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 20943865 + ... + 20944135.

It is an arithmetic number, because the mean of its divisors is an integer number (36518040).

Almost surely, 2^5675824000 is an apocalyptic number.

5675824000 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 5675824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9348618240).

5675824000 is an abundant number, since it is smaller than the sum of its proper divisors (13021412480).

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

5675824000 is a wasteful number, since it uses less digits than its factorization.

5675824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 5675824000 is about 75338.0647481736. The cubic root of 5675824000 is about 1783.7869130894.

The spelling of 5675824000 in words is "five billion, six hundred seventy-five million, eight hundred twenty-four thousand".