6067426400 has 144 divisors (see below), whose sum is σ = 17512316640. Its totient is φ = 2008473600.

The previous prime is 6067426367. The next prime is 6067426411. The reversal of 6067426400 is 46247606.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143720 + ... + 181080.

It is an arithmetic number, because the mean of its divisors is an integer number (121613310).

Almost surely, 2^6067426400 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 6067426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756158320).

6067426400 is an abundant number, since it is smaller than the sum of its proper divisors (11444890240).

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

6067426400 is a wasteful number, since it uses less digits than its factorization.

6067426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37417 (or 37404 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 6067426400 is about 77893.6865220796. The cubic root of 6067426400 is about 1823.9020254905.

The spelling of 6067426400 in words is "six billion, sixty-seven million, four hundred twenty-six thousand, four hundred".