1671074027712 has 560 divisors, whose sum is σ = 5133850141728. Its totient is φ = 537238241280.

The previous prime is 1671074027687. The next prime is 1671074027737. The reversal of 1671074027712 is 2177204701761.

1671074027712 is a `hidden beast` number, since 1 + 67 + 107 + 402 + 77 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1671074027687) and next prime (1671074027737).

It is a super-2 number, since 2×1671074027712² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4815775123 + ... + 4815775469.

Almost surely, 2^{1671074027712} is an apocalyptic number.

1671074027712 is a gapful number since it is divisible by the number (12) 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 1671074027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566925070864).

1671074027712 is an abundant number, since it is smaller than the sum of its proper divisors (3462776114016).

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

1671074027712 is a wasteful number, since it uses less digits than its factorization.

1671074027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 1671074027712 in words is "one trillion, six hundred seventy-one billion, seventy-four million, twenty-seven thousand, seven hundred twelve".