6742774584 has 256 divisors, whose sum is σ = 23335603200. Its totient is φ = 1756463616.

The previous prime is 6742774547. The next prime is 6742774607. The reversal of 6742774584 is 4854772476.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6742774584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1629382 + ... + 1633514.

It is an arithmetic number, because the mean of its divisors is an integer number (91154700).

Almost surely, 2^6742774584 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 6742774584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11667801600).

6742774584 is an abundant number, since it is smaller than the sum of its proper divisors (16592828616).

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

6742774584 is a wasteful number, since it uses less digits than its factorization.

6742774584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4241 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The square root of 6742774584 is about 82114.3993706341. The cubic root of 6742774584 is about 1889.2070041864.

The spelling of 6742774584 in words is "six billion, seven hundred forty-two million, seven hundred seventy-four thousand, five hundred eighty-four".