5667874560 has 180 divisors, whose sum is σ = 20281062648. Its totient is φ = 1511405568.

The previous prime is 5667874517. The next prime is 5667874561. The reversal of 5667874560 is 654787665.

5667874560 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 8 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5667874497 and 5667874506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5667874561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76347 + ... + 131013.

Almost surely, 2^5667874560 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 5667874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140531324).

5667874560 is an abundant number, since it is smaller than the sum of its proper divisors (14613188088).

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

5667874560 is an equidigital number, since it uses as much as digits as its factorization.

5667874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54700 (or 54677 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 5667874560 is about 75285.2878057858. The cubic root of 5667874560 is about 1782.9537458222.

The spelling of 5667874560 in words is "five billion, six hundred sixty-seven million, eight hundred seventy-four thousand, five hundred sixty".