6735318220800 has 1380 divisors, whose sum is σ = 27312197095876. Its totient is φ = 1630745395200.

The previous prime is 6735318220751. The next prime is 6735318220801. The reversal of 6735318220800 is 80228135376.

6735318220800 is a `hidden beast` number, since 6 + 7 + 35 + 318 + 220 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2397195730944 + 4338122489856 = 1548288^2 + 2082816^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6735318220801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 110415052770 + ... + 110415052830.

Almost surely, 2^{6735318220800} is an apocalyptic number.

6735318220800 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 6735318220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656098547938).

6735318220800 is an abundant number, since it is smaller than the sum of its proper divisors (20576878875076).

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

6735318220800 is an frugal number, since it uses more digits than its factorization.

6735318220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6735318220800 in words is "six trillion, seven hundred thirty-five billion, three hundred eighteen million, two hundred twenty thousand, eight hundred".