1641938688 has 180 divisors, whose sum is σ = 5273442328. Its totient is φ = 505128960.

The previous prime is 1641938663. The next prime is 1641938717. The reversal of 1641938688 is 8868391461.

It is a super-2 number, since 2×1641938688² = 5391925310302322688, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 266523 + ... + 272613.

Almost surely, 2^1641938688 is an apocalyptic number.

1641938688 is a gapful number since it is divisible by the number (18) 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 1641938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636721164).

1641938688 is an abundant number, since it is smaller than the sum of its proper divisors (3631503640).

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

1641938688 is an equidigital number, since it uses as much as digits as its factorization.

1641938688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6109 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1641938688 is about 40520.8426368455. The cubic root of 1641938688 is about 1179.7382087056.

The spelling of 1641938688 in words is "one billion, six hundred forty-one million, nine hundred thirty-eight thousand, six hundred eighty-eight".