6540742656 has 624 divisors, whose sum is σ = 24203422080. Its totient is φ = 1734082560.

The previous prime is 6540742643. The next prime is 6540742657. The reversal of 6540742656 is 6562470456.

6540742656 is a `hidden beast` number, since 6 + 540 + 7 + 42 + 65 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540742657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92123101 + ... + 92123171.

Almost surely, 2^6540742656 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 6540742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12101711040).

6540742656 is an abundant number, since it is smaller than the sum of its proper divisors (17662679424).

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

6540742656 is a wasteful number, since it uses less digits than its factorization.

6540742656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 6540742656 is about 80874.8579967841. The cubic root of 6540742656 is about 1870.1467523786.

The spelling of 6540742656 in words is "six billion, five hundred forty million, seven hundred forty-two thousand, six hundred fifty-six".