6067824672 has 432 divisors, whose sum is σ = 20809752768. Its totient is φ = 1515571200.

The previous prime is 6067824647. The next prime is 6067824677. The reversal of 6067824672 is 2764287606.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6067824677) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60077422 + ... + 60077522.

It is an arithmetic number, because the mean of its divisors is an integer number (48170724).

Almost surely, 2^6067824672 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 6067824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10404876384).

6067824672 is an abundant number, since it is smaller than the sum of its proper divisors (14741928096).

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

6067824672 is a wasteful number, since it uses less digits than its factorization.

6067824672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 6067824672 is about 77896.2429902752. The cubic root of 6067824672 is about 1823.9419322080.

The spelling of 6067824672 in words is "six billion, sixty-seven million, eight hundred twenty-four thousand, six hundred seventy-two".