1819897632 has 480 divisors, whose sum is σ = 6586272000. Its totient is φ = 491774976.

The previous prime is 1819897613. The next prime is 1819897649. The reversal of 1819897632 is 2367989181.

1819897632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20448244 + ... + 20448332.

It is an arithmetic number, because the mean of its divisors is an integer number (13721400).

Almost surely, 2^1819897632 is an apocalyptic number.

1819897632 is a gapful number since it is divisible by the number (12) 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 1819897632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293136000).

1819897632 is an abundant number, since it is smaller than the sum of its proper divisors (4766374368).

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

1819897632 is an equidigital number, since it uses as much as digits as its factorization.

1819897632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1819897632 is about 42660.2582270666. The cubic root of 1819897632 is about 1220.9062584613.

The spelling of 1819897632 in words is "one billion, eight hundred nineteen million, eight hundred ninety-seven thousand, six hundred thirty-two".