6800787861600 has 1152 divisors, whose sum is σ = 24778078101504. Its totient is φ = 1612431360000.

The previous prime is 6800787861589. The next prime is 6800787861611. The reversal of 6800787861600 is 61687870086.

It is an interprime number because it is at equal distance from previous prime (6800787861589) and next prime (6800787861611).

It is a congruent number.

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, 13964656557 + ... + 13964657043.

It is an arithmetic number, because the mean of its divisors is an integer number (21508748352).

Almost surely, 2^{6800787861600} is an apocalyptic number.

6800787861600 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 6800787861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12389039050752).

6800787861600 is an abundant number, since it is smaller than the sum of its proper divisors (17977290239904).

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

6800787861600 is a wasteful number, since it uses less digits than its factorization.

6800787861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 6800787861600 in words is "six trillion, eight hundred billion, seven hundred eighty-seven million, eight hundred sixty-one thousand, six hundred".