5824400740 has 96 divisors (see below), whose sum is σ = 12915302400. Its totient is φ = 2203963776.

The previous prime is 5824400711. The next prime is 5824400741. The reversal of 5824400740 is 470044285.

It is a happy number.

It is a super-2 number, since 2×5824400740² = 67847287960225095200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5824400696 and 5824400705.

It is not an unprimeable number, because it can be changed into a prime (5824400741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4162561 + ... + 4163959.

It is an arithmetic number, because the mean of its divisors is an integer number (134534400).

Almost surely, 2^5824400740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5824400740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457651200).

5824400740 is an abundant number, since it is smaller than the sum of its proper divisors (7090901660).

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

5824400740 is a wasteful number, since it uses less digits than its factorization.

5824400740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 5824400740 is about 76317.7616286012. The cubic root of 5824400740 is about 1799.2178433051.

The spelling of 5824400740 in words is "five billion, eight hundred twenty-four million, four hundred thousand, seven hundred forty".