1812788640 has 384 divisors, whose sum is σ = 6909235200. Its totient is φ = 443888640.

The previous prime is 1812788639. The next prime is 1812788687. The reversal of 1812788640 is 468872181.

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 63 ways as a sum of consecutive naturals, for example, 9490945 + ... + 9491135.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^1812788640 is an apocalyptic number.

1812788640 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 1812788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454617600).

1812788640 is an abundant number, since it is smaller than the sum of its proper divisors (5096446560).

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

1812788640 is a wasteful number, since it uses less digits than its factorization.

1812788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1812788640 is about 42576.8556847497. The cubic root of 1812788640 is about 1219.3144585332.

The spelling of 1812788640 in words is "one billion, eight hundred twelve million, seven hundred eighty-eight thousand, six hundred forty".