6742564416 has 280 divisors, whose sum is σ = 23172944256. Its totient is φ = 1898588160.

The previous prime is 6742564403. The next prime is 6742564417. The reversal of 6742564416 is 6144652476.

6742564416 is a `hidden beast` number, since 6 + 7 + 42 + 564 + 41 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6742564417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2575140 + ... + 2577756.

Almost surely, 2^6742564416 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 6742564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11586472128).

6742564416 is an abundant number, since it is smaller than the sum of its proper divisors (16430379840).

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

6742564416 is a wasteful number, since it uses less digits than its factorization.

6742564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2700 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 6742564416 is about 82113.1196338320. The cubic root of 6742564416 is about 1889.1873755217.

It can be divided in two parts, 67425 and 64416, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 6742564416 in words is "six billion, seven hundred forty-two million, five hundred sixty-four thousand, four hundred sixteen".