6823607961600 has 1584 divisors, whose sum is σ = 26490627186660. Its totient is φ = 1741425868800.

The previous prime is 6823607961571. The next prime is 6823607961613. The reversal of 6823607961600 is 61697063286.

6823607961600 is a `hidden beast` number, since 6 + 8 + 23 + 6 + 0 + 7 + 9 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1980932391936 + 4842675569664 = 1407456^2 + 2200608^2 .

It is a super-2 number, since 2×6823607961600² (a number of 26 digits) contains 22 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 131 ways as a sum of consecutive naturals, for example, 111862425570 + ... + 111862425630.

Almost surely, 2^{6823607961600} is an apocalyptic number.

6823607961600 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 6823607961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245313593330).

6823607961600 is an abundant number, since it is smaller than the sum of its proper divisors (19667019225060).

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

6823607961600 is an frugal number, since it uses more digits than its factorization.

6823607961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6823607961600 in words is "six trillion, eight hundred twenty-three billion, six hundred seven million, nine hundred sixty-one thousand, six hundred".