5677837824 has 80 divisors (see below), whose sum is σ = 15198670080. Its totient is φ = 1883535360.

The previous prime is 5677837807. The next prime is 5677837853. The reversal of 5677837824 is 4287387765.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315337 + ... + 332855.

It is an arithmetic number, because the mean of its divisors is an integer number (189983376).

Almost surely, 2^5677837824 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 5677837824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599335040).

5677837824 is an abundant number, since it is smaller than the sum of its proper divisors (9520832256).

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

5677837824 is a wasteful number, since it uses less digits than its factorization.

5677837824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17751 (or 17735 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 57.

The square root of 5677837824 is about 75351.4288119343. The cubic root of 5677837824 is about 1783.9978550384.

The spelling of 5677837824 in words is "five billion, six hundred seventy-seven million, eight hundred thirty-seven thousand, eight hundred twenty-four".