6285720268800 has 2184 divisors, whose sum is σ = 27922306977024. Its totient is φ = 1371641610240.

The previous prime is 6285720268771. The next prime is 6285720268871. The reversal of 6285720268800 is 88620275826.

6285720268800 is a `hidden beast` number, since 6 + 2 + 8 + 572 + 0 + 2 + 68 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×6285720268800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12018585339 + ... + 12018585861.

Almost surely, 2^{6285720268800} is an apocalyptic number.

6285720268800 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 6285720268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961153488512).

6285720268800 is an abundant number, since it is smaller than the sum of its proper divisors (21636586708224).

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

6285720268800 is an equidigital number, since it uses as much as digits as its factorization.

6285720268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 6285720268800 in words is "six trillion, two hundred eighty-five billion, seven hundred twenty million, two hundred sixty-eight thousand, eight hundred".