1806820570368 has 864 divisors, whose sum is σ = 6108971151360. Its totient is φ = 525806899200.

The previous prime is 1806820570363. The next prime is 1806820570403. The reversal of 1806820570368 is 8630750286081.

1806820570368 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 8 + 2 + 0 + 570 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1806820570361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5885408871 + ... + 5885409177.

Almost surely, 2^{1806820570368} is an apocalyptic number.

1806820570368 is a gapful number since it is divisible by the number (18) 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 1806820570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054485575680).

1806820570368 is an abundant number, since it is smaller than the sum of its proper divisors (4302150580992).

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

1806820570368 is a wasteful number, since it uses less digits than its factorization.

1806820570368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1806820570368 in words is "one trillion, eight hundred six billion, eight hundred twenty million, five hundred seventy thousand, three hundred sixty-eight".