5679129600 has 297 divisors, whose sum is σ = 20464311387. Its totient is φ = 1504788480.

The previous prime is 5679129581. The next prime is 5679129607. The reversal of 5679129600 is 69219765.

It is a happy number.

The square root of 5679129600 is 75360.

It is a perfect power (a square), and thus also a powerful number.

5679129600 is a `hidden beast` number, since 567 + 9 + 1 + 29 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 686859264 + 4992270336 = 26208^2 + 70656^2 .

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 (5679129607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36172722 + ... + 36172878.

Almost surely, 2^5679129600 is an apocalyptic number.

5679129600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5679129600 is the 75360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5679129600

5679129600 is an abundant number, since it is smaller than the sum of its proper divisors (14785181787).

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

5679129600 is a wasteful number, since it uses less digits than its factorization.

5679129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The cubic root of 5679129600 is about 1784.1331383944.

The spelling of 5679129600 in words is "five billion, six hundred seventy-nine million, one hundred twenty-nine thousand, six hundred".