6278268268800 has 1080 divisors, whose sum is σ = 26425540532160. Its totient is φ = 1455799910400.

The previous prime is 6278268268759. The next prime is 6278268268819. The reversal of 6278268268800 is 88628628726.

6278268268800 is a `hidden beast` number, since 6 + 278 + 26 + 8 + 268 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 131131266 + ... + 131179134.

Almost surely, 2^{6278268268800} is an apocalyptic number.

6278268268800 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 6278268268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13212770266080).

6278268268800 is an abundant number, since it is smaller than the sum of its proper divisors (20147272263360).

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

6278268268800 is a wasteful number, since it uses less digits than its factorization.

6278268268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47941 (or 47913 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 6278268268800 in words is "six trillion, two hundred seventy-eight billion, two hundred sixty-eight million, two hundred sixty-eight thousand, eight hundred".