6845219020800 has 2688 divisors, whose sum is σ = 28785429043200. Its totient is φ = 1605264998400.

The previous prime is 6845219020781. The next prime is 6845219020819. The reversal of 6845219020800 is 80209125486.

6845219020800 is a `hidden beast` number, since 6 + 8 + 452 + 190 + 2 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6845219020781) and next prime (6845219020819).

It is a super-2 number, since 2×6845219020800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 220813516785 + ... + 220813516815.

Almost surely, 2^{6845219020800} is an apocalyptic number.

6845219020800 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 6845219020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392714521600).

6845219020800 is an abundant number, since it is smaller than the sum of its proper divisors (21940210022400).

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

6845219020800 is an equidigital number, since it uses as much as digits as its factorization.

6845219020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 6845219020800 in words is "six trillion, eight hundred forty-five billion, two hundred nineteen million, twenty thousand, eight hundred".