6272380416 has 160 divisors (see below), whose sum is σ = 17846357760. Its totient is φ = 1952907264.

The previous prime is 6272380409. The next prime is 6272380417. The reversal of 6272380416 is 6140832726.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6272380417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517040 + ... + 1521168.

It is an arithmetic number, because the mean of its divisors is an integer number (111539736).

Almost surely, 2^6272380416 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 6272380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8923178880).

6272380416 is an abundant number, since it is smaller than the sum of its proper divisors (11573977344).

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

6272380416 is a wasteful number, since it uses less digits than its factorization.

6272380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 6272380416 is about 79198.3611951662. The cubic root of 6272380416 is about 1844.2118010129.

The spelling of 6272380416 in words is "six billion, two hundred seventy-two million, three hundred eighty thousand, four hundred sixteen".