5679936000 has 640 divisors, whose sum is σ = 22214649600. Its totient is φ = 1426636800.

The previous prime is 5679935993. The next prime is 5679936001. The reversal of 5679936000 is 6399765.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (5679936001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32831914 + ... + 32832086.

It is an arithmetic number, because the mean of its divisors is an integer number (34710390).

Almost surely, 2^5679936000 is an apocalyptic number.

5679936000 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 5679936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107324800).

5679936000 is an abundant number, since it is smaller than the sum of its proper divisors (16534713600).

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

5679936000 is a wasteful number, since it uses less digits than its factorization.

5679936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 5679936000 is about 75365.3501285571. The cubic root of 5679936000 is about 1784.2175795542.

The spelling of 5679936000 in words is "five billion, six hundred seventy-nine million, nine hundred thirty-six thousand".