1813735680 has 144 divisors (see below), whose sum is σ = 5816569920. Its totient is φ = 481665024.

The previous prime is 1813735669. The next prime is 1813735709. The reversal of 1813735680 is 865373181.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085886 + ... + 1087554.

Almost surely, 2^1813735680 is an apocalyptic number.

1813735680 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 1813735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908284960).

1813735680 is an abundant number, since it is smaller than the sum of its proper divisors (4002834240).

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

1813735680 is a wasteful number, since it uses less digits than its factorization.

1813735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1813735680 is about 42587.9757678150. The cubic root of 1813735680 is about 1219.5267536515.

The spelling of 1813735680 in words is "one billion, eight hundred thirteen million, seven hundred thirty-five thousand, six hundred eighty".