5379609600 has 528 divisors, whose sum is σ = 20326546240. Its totient is φ = 1393459200.

The previous prime is 5379609569. The next prime is 5379609617. The reversal of 5379609600 is 69069735.

5379609600 is a `hidden beast` number, since 5 + 37 + 9 + 6 + 0 + 9 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29721510 + ... + 29721690.

Almost surely, 2^5379609600 is an apocalyptic number.

5379609600 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 5379609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163273120).

5379609600 is an abundant number, since it is smaller than the sum of its proper divisors (14946936640).

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

5379609600 is a wasteful number, since it uses less digits than its factorization.

5379609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

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

The square root of 5379609600 is about 73345.8219668987. The cubic root of 5379609600 is about 1752.1996394759.

The spelling of 5379609600 in words is "five billion, three hundred seventy-nine million, six hundred nine thousand, six hundred".