6268819426560 has 1152 divisors, whose sum is σ = 23209688678400. Its totient is φ = 1601363312640.

The previous prime is 6268819426547. The next prime is 6268819426603. The reversal of 6268819426560 is 656249188626.

6268819426560 is a `hidden beast` number, since 6 + 2 + 68 + 8 + 1 + 9 + 4 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14150833699 + ... + 14150834141.

It is an arithmetic number, because the mean of its divisors is an integer number (20147299200).

Almost surely, 2^{6268819426560} is an apocalyptic number.

6268819426560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6268819426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604844339200).

6268819426560 is an abundant number, since it is smaller than the sum of its proper divisors (16940869251840).

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

6268819426560 is a wasteful number, since it uses less digits than its factorization.

6268819426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 6268819426560 in words is "six trillion, two hundred sixty-eight billion, eight hundred nineteen million, four hundred twenty-six thousand, five hundred sixty".