1768368672 has 120 divisors (see below), whose sum is σ = 5943744576. Its totient is φ = 505243008.

The previous prime is 1768368661. The next prime is 1768368677. The reversal of 1768368672 is 2768638671.

It is a super-2 number, since 2×1768368672² = 6254255520222087168, 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 not an unprimeable number, because it can be changed into a prime (1768368677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30588 + ... + 66875.

Almost surely, 2^1768368672 is an apocalyptic number.

1768368672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1768368672 is an abundant number, since it is smaller than the sum of its proper divisors (4175375904).

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

1768368672 is an equidigital number, since it uses as much as digits as its factorization.

1768368672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97492 (or 97475 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 1768368672 is about 42051.9758394299. The cubic root of 1768368672 is about 1209.2727620081.

The spelling of 1768368672 in words is "one billion, seven hundred sixty-eight million, three hundred sixty-eight thousand, six hundred seventy-two".