1814665680 has 480 divisors, whose sum is σ = 7068297600. Its totient is φ = 431474688.

The previous prime is 1814665679. The next prime is 1814665717. The reversal of 1814665680 is 865664181.

1814665680 is a `hidden beast` number, since 1 + 81 + 4 + 6 + 6 + 568 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 95508711 + ... + 95508729.

It is an arithmetic number, because the mean of its divisors is an integer number (14725620).

Almost surely, 2^1814665680 is an apocalyptic number.

1814665680 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 1814665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534148800).

1814665680 is an abundant number, since it is smaller than the sum of its proper divisors (5253631920).

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

1814665680 is an equidigital number, since it uses as much as digits as its factorization.

1814665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1814665680 is about 42598.8929433618. The cubic root of 1814665680 is about 1219.7351570590.

The spelling of 1814665680 in words is "one billion, eight hundred fourteen million, six hundred sixty-five thousand, six hundred eighty".