6272468784 has 120 divisors (see below), whose sum is σ = 19565198640. Its totient is φ = 1864249344.

The previous prime is 6272468773. The next prime is 6272468789. The reversal of 6272468784 is 4878642726.

It is a happy number.

6272468784 is a `hidden beast` number, since 627 + 2 + 4 + 6 + 8 + 7 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6272468784.

It is not an unprimeable number, because it can be changed into a prime (6272468789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20917 + ... + 113940.

It is an arithmetic number, because the mean of its divisors is an integer number (163043322).

Almost surely, 2^6272468784 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 6272468784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9782599320).

6272468784 is an abundant number, since it is smaller than the sum of its proper divisors (13292729856).

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

6272468784 is a wasteful number, since it uses less digits than its factorization.

6272468784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134907 (or 134898 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 6272468784 is about 79198.9190835330. The cubic root of 6272468784 is about 1844.2204616559.

The spelling of 6272468784 in words is "six billion, two hundred seventy-two million, four hundred sixty-eight thousand, seven hundred eighty-four".