1832640768 has 288 divisors, whose sum is σ = 6328224000. Its totient is φ = 522934272.

The previous prime is 1832640743. The next prime is 1832640769. The reversal of 1832640768 is 8670462381.

1832640768 is a `hidden beast` number, since 183 + 2 + 6 + 407 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1832640769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370430 + ... + 2371202.

It is an arithmetic number, because the mean of its divisors is an integer number (21973000).

Almost surely, 2^1832640768 is an apocalyptic number.

1832640768 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 1832640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164112000).

1832640768 is an abundant number, since it is smaller than the sum of its proper divisors (4495583232).

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

1832640768 is an frugal number, since it uses more digits than its factorization.

1832640768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1832640768 is about 42809.3537442461. The cubic root of 1832640768 is about 1223.7492758270.

The spelling of 1832640768 in words is "one billion, eight hundred thirty-two million, six hundred forty thousand, seven hundred sixty-eight".