6428025856000 has 1344 divisors, whose sum is σ = 20337211365120. Its totient is φ = 1984010649600.

The previous prime is 6428025855967. The next prime is 6428025856003. The reversal of 6428025856000 is 6585208246.

It is not an unprimeable number, because it can be changed into a prime (6428025856003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60075007947 + ... + 60075008053.

Almost surely, 2^{6428025856000} 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 6428025856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10168605682560).

6428025856000 is an abundant number, since it is smaller than the sum of its proper divisors (13909185509120).

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

6428025856000 is a wasteful number, since it uses less digits than its factorization.

6428025856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 6428025856000 in words is "six trillion, four hundred twenty-eight billion, twenty-five million, eight hundred fifty-six thousand".