5827434624 has 512 divisors, whose sum is σ = 20304691200. Its totient is φ = 1625702400.

The previous prime is 5827434623. The next prime is 5827434631. The reversal of 5827434624 is 4264347285.

It is a happy number.

5827434624 is a `hidden beast` number, since 582 + 7 + 4 + 3 + 4 + 62 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5827434624.

It is not an unprimeable number, because it can be changed into a prime (5827434623) 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, 45885249 + ... + 45885375.

It is an arithmetic number, because the mean of its divisors is an integer number (39657600).

Almost surely, 2^5827434624 is an apocalyptic number.

5827434624 is a gapful number since it is divisible by the number (54) 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 5827434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152345600).

5827434624 is an abundant number, since it is smaller than the sum of its proper divisors (14477256576).

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

5827434624 is a wasteful number, since it uses less digits than its factorization.

5827434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 5827434624 is about 76337.6356982583. The cubic root of 5827434624 is about 1799.5301884980.

The spelling of 5827434624 in words is "five billion, eight hundred twenty-seven million, four hundred thirty-four thousand, six hundred twenty-four".