5667637248 has 576 divisors, whose sum is σ = 20987366400. Its totient is φ = 1433272320.

The previous prime is 5667637237. The next prime is 5667637249. The reversal of 5667637248 is 8427367665.

5667637248 is a `hidden beast` number, since 566 + 7 + 6 + 3 + 72 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5667637248² = 64244223949834027008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5667637194 and 5667637203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5667637249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51996618 + ... + 51996726.

It is an arithmetic number, because the mean of its divisors is an integer number (36436400).

Almost surely, 2^5667637248 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 5667637248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10493683200).

5667637248 is an abundant number, since it is smaller than the sum of its proper divisors (15319729152).

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

5667637248 is a wasteful number, since it uses less digits than its factorization.

5667637248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 5667637248 is about 75283.7117044584. The cubic root of 5667637248 is about 1782.9288615838.

The spelling of 5667637248 in words is "five billion, six hundred sixty-seven million, six hundred thirty-seven thousand, two hundred forty-eight".