1820362836600 has 768 divisors, whose sum is σ = 7949919744000. Its totient is φ = 371841062400.

The previous prime is 1820362836599. The next prime is 1820362836683. The reversal of 1820362836600 is 66382630281.

It is a happy number.

1820362836600 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 3 + 6 + 2 + 8 + 36 + 600 = 666.

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

It is a congruent number.

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, 24495099 + ... + 24569301.

It is an arithmetic number, because the mean of its divisors is an integer number (10351458000).

Almost surely, 2^{1820362836600} is an apocalyptic number.

1820362836600 is a gapful number since it is divisible by the number (10) 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 1820362836600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974959872000).

1820362836600 is an abundant number, since it is smaller than the sum of its proper divisors (6129556907400).

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

1820362836600 is a wasteful number, since it uses less digits than its factorization.

1820362836600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74305 (or 74290 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1820362836600 in words is "one trillion, eight hundred twenty billion, three hundred sixty-two million, eight hundred thirty-six thousand, six hundred".