5679788400 has 1080 divisors, whose sum is σ = 25122923280. Its totient is φ = 1175961600.

The previous prime is 5679788399. The next prime is 5679788419. The reversal of 5679788400 is 48879765.

5679788400 is a `hidden beast` number, since 567 + 9 + 78 + 8 + 4 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 96267571 + ... + 96267629.

It is an arithmetic number, because the mean of its divisors is an integer number (23261966).

Almost surely, 2^5679788400 is an apocalyptic number.

5679788400 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 5679788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561461640).

5679788400 is an abundant number, since it is smaller than the sum of its proper divisors (19443134880).

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

5679788400 is a wasteful number, since it uses less digits than its factorization.

5679788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5679788400 is about 75364.3708923520. The cubic root of 5679788400 is about 1784.2021244038.

The spelling of 5679788400 in words is "five billion, six hundred seventy-nine million, seven hundred eighty-eight thousand, four hundred".