6768287635200 has 2592 divisors, whose sum is σ = 29597780620800. Its totient is φ = 1324715212800.

The previous prime is 6768287635177. The next prime is 6768287635223. The reversal of 6768287635200 is 25367828676.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6768287635177) and next prime (6768287635223).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48692716731 + ... + 48692716869.

Almost surely, 2^{6768287635200} is an apocalyptic number.

6768287635200 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 6768287635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798890310400).

6768287635200 is an abundant number, since it is smaller than the sum of its proper divisors (22829492985600).

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

6768287635200 is a wasteful number, since it uses less digits than its factorization.

6768287635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 6768287635200 in words is "six trillion, seven hundred sixty-eight billion, two hundred eighty-seven million, six hundred thirty-five thousand, two hundred".