1868832768 has 224 divisors, whose sum is σ = 5636800512. Its totient is φ = 545587200.

The previous prime is 1868832727. The next prime is 1868832773. The reversal of 1868832768 is 8672388681.

It is a happy number.

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, 8380305 + ... + 8380527.

It is an arithmetic number, because the mean of its divisors is an integer number (25164288).

Almost surely, 2^1868832768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1868832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818400256).

1868832768 is an abundant number, since it is smaller than the sum of its proper divisors (3767967744).

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

1868832768 is a wasteful number, since it uses less digits than its factorization.

1868832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 270 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The square root of 1868832768 is about 43229.9984732824. The cubic root of 1868832768 is about 1231.7525786380.

The spelling of 1868832768 in words is "one billion, eight hundred sixty-eight million, eight hundred thirty-two thousand, seven hundred sixty-eight".