6268856588640 has 288 divisors, whose sum is σ = 22750657544160. Its totient is φ = 1566427594752.

The previous prime is 6268856588581. The next prime is 6268856588641. The reversal of 6268856588640 is 468856588626.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6268856588641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4992906 + ... + 6121014.

It is an arithmetic number, because the mean of its divisors is an integer number (78995338695).

Almost surely, 2^{6268856588640} is an apocalyptic number.

6268856588640 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 6268856588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11375328772080).

6268856588640 is an abundant number, since it is smaller than the sum of its proper divisors (16481800955520).

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

6268856588640 is a wasteful number, since it uses less digits than its factorization.

6268856588640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128374 (or 1128363 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 6268856588640 in words is "six trillion, two hundred sixty-eight billion, eight hundred fifty-six million, five hundred eighty-eight thousand, six hundred forty".