6428083607568 has 960 divisors, whose sum is σ = 22729973760000. Its totient is φ = 1654663127040.

The previous prime is 6428083607531. The next prime is 6428083607581. The reversal of 6428083607568 is 8657063808246.

6428083607568 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 0 + 8 + 3 + 60 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12628847698 + ... + 12628848206.

It is an arithmetic number, because the mean of its divisors is an integer number (23677056000).

Almost surely, 2^{6428083607568} 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 6428083607568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11364986880000).

6428083607568 is an abundant number, since it is smaller than the sum of its proper divisors (16301890152432).

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

6428083607568 is a wasteful number, since it uses less digits than its factorization.

6428083607568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 6428083607568 in words is "six trillion, four hundred twenty-eight billion, eighty-three million, six hundred seven thousand, five hundred sixty-eight".