5279644800 has 240 divisors, whose sum is σ = 19484006850. Its totient is φ = 1407836160.

The previous prime is 5279644787. The next prime is 5279644801. The reversal of 5279644800 is 84469725.

It is a happy number.

5279644800 is a `hidden beast` number, since 527 + 9 + 6 + 44 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4378204224 + 901440576 = 66168^2 + 30024^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (5279644801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 249016 + ... + 269384.

Almost surely, 2^5279644800 is an apocalyptic number.

5279644800 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 5279644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9742003425).

5279644800 is an abundant number, since it is smaller than the sum of its proper divisors (14204362050).

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

5279644800 is a wasteful number, since it uses less digits than its factorization.

5279644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20405 (or 20379 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5279644800 is about 72661.1643176739. The cubic root of 5279644800 is about 1741.2784896325.

The spelling of 5279644800 in words is "five billion, two hundred seventy-nine million, six hundred forty-four thousand, eight hundred".