1672377768 has 48 divisors (see below), whose sum is σ = 4534295220. Its totient is φ = 556851456.

The previous prime is 1672377767. The next prime is 1672377779. The reversal of 1672377768 is 8677732761.

It can be written as a sum of positive squares in 2 ways, for example, as 1641708324 + 30669444 = 40518^2 + 5538^2 .

It is not an unprimeable number, because it can be changed into a prime (1672377767) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 56430 + ... + 80802.

Almost surely, 2^1672377768 is an apocalyptic number.

1672377768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1672377768 is an abundant number, since it is smaller than the sum of its proper divisors (2861917452).

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

1672377768 is a wasteful number, since it uses less digits than its factorization.

1672377768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25338 (or 25331 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 1672377768 is about 40894.7156488464. The cubic root of 1672377768 is about 1186.9838094537.

The spelling of 1672377768 in words is "one billion, six hundred seventy-two million, three hundred seventy-seven thousand, seven hundred sixty-eight".