6474627072 has 144 divisors (see below), whose sum is σ = 19800864720. Its totient is φ = 2031157248.

The previous prime is 6474627043. The next prime is 6474627097. The reversal of 6474627072 is 2707264746.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 303013 + ... + 323675.

It is an arithmetic number, because the mean of its divisors is an integer number (137506005).

Almost surely, 2^6474627072 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 6474627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9900432360).

6474627072 is an abundant number, since it is smaller than the sum of its proper divisors (13326237648).

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

6474627072 is a wasteful number, since it uses less digits than its factorization.

6474627072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20708 (or 20685 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 6474627072 is about 80465.0674019478. The cubic root of 6474627072 is about 1863.8240852731.

The spelling of 6474627072 in words is "six billion, four hundred seventy-four million, six hundred twenty-seven thousand, seventy-two".