1674006931872 has 144 divisors (see below), whose sum is σ = 5366737434240. Its totient is φ = 507274796160.

The previous prime is 1674006931859. The next prime is 1674006931897. The reversal of 1674006931872 is 2781396004761.

1674006931872 is a `hidden beast` number, since 167 + 40 + 0 + 69 + 318 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 7901688 + ... + 8110775.

It is an arithmetic number, because the mean of its divisors is an integer number (37269009960).

Almost surely, 2^{1674006931872} is an apocalyptic number.

1674006931872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1674006931872 is an abundant number, since it is smaller than the sum of its proper divisors (3692730502368).

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

1674006931872 is a wasteful number, since it uses less digits than its factorization.

1674006931872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16012504 (or 16012479 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1674006931872 in words is "one trillion, six hundred seventy-four billion, six million, nine hundred thirty-one thousand, eight hundred seventy-two".