6567676542 has 96 divisors (see below), whose sum is σ = 17039393280. Its totient is φ = 1787544000.

The previous prime is 6567676537. The next prime is 6567676543. The reversal of 6567676542 is 2456767656.

6567676542 is a `hidden beast` number, since 6 + 567 + 6 + 76 + 5 + 4 + 2 = 666.

It is a super-3 number, since 3×6567676542³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6567676543) 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, 722884 + ... + 731912.

It is an arithmetic number, because the mean of its divisors is an integer number (177493680).

Almost surely, 2^6567676542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6567676542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519696640).

6567676542 is an abundant number, since it is smaller than the sum of its proper divisors (10471716738).

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

6567676542 is a wasteful number, since it uses less digits than its factorization.

6567676542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9318 (or 9315 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 6567676542 is about 81041.2027428024. The cubic root of 6567676542 is about 1872.7102399644.

It can be divided in two parts, 656767654 and 2, that added together give a palindrome (656767656).

The spelling of 6567676542 in words is "six billion, five hundred sixty-seven million, six hundred seventy-six thousand, five hundred forty-two".