1667730878112 has 288 divisors, whose sum is σ = 4814691912576. Its totient is φ = 505170432000.

The previous prime is 1667730878053. The next prime is 1667730878113. The reversal of 1667730878112 is 2118780377661.

It is not an unprimeable number, because it can be changed into a prime (1667730878113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296588133 + ... + 296593755.

It is an arithmetic number, because the mean of its divisors is an integer number (16717680252).

Almost surely, 2^{1667730878112} is an apocalyptic number.

1667730878112 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 1667730878112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407345956288).

1667730878112 is an abundant number, since it is smaller than the sum of its proper divisors (3146961034464).

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

1667730878112 is a wasteful number, since it uses less digits than its factorization.

1667730878112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 1667730878112 in words is "one trillion, six hundred sixty-seven billion, seven hundred thirty million, eight hundred seventy-eight thousand, one hundred twelve".