6119472206304 has 480 divisors, whose sum is σ = 19731318314400. Its totient is φ = 1851907276800.

The previous prime is 6119472206303. The next prime is 6119472206311. The reversal of 6119472206304 is 4036022749116.

6119472206304 is a `hidden beast` number, since 6 + 1 + 1 + 9 + 4 + 7 + 2 + 2 + 0 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6119472206304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6119472206303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2301417327 + ... + 2301419985.

It is an arithmetic number, because the mean of its divisors is an integer number (41106913155).

Almost surely, 2^{6119472206304} 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 6119472206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865659157200).

6119472206304 is an abundant number, since it is smaller than the sum of its proper divisors (13611846108096).

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

6119472206304 is a wasteful number, since it uses less digits than its factorization.

6119472206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6119472206304 in words is "six trillion, one hundred nineteen billion, four hundred seventy-two million, two hundred six thousand, three hundred four".