1667726807040 has 1248 divisors, whose sum is σ = 6998233132800. Its totient is φ = 380804530176.

The previous prime is 1667726807029. The next prime is 1667726807059. The reversal of 1667726807040 is 407086277661.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1706987032 + ... + 1706988008.

It is an arithmetic number, because the mean of its divisors is an integer number (5607558600).

Almost surely, 2^{1667726807040} is an apocalyptic number.

1667726807040 is a gapful number since it is divisible by the number (10) 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 1667726807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499116566400).

1667726807040 is an abundant number, since it is smaller than the sum of its proper divisors (5330506325760).

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

1667726807040 is an frugal number, since it uses more digits than its factorization.

1667726807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 1667726807040 in words is "one trillion, six hundred sixty-seven billion, seven hundred twenty-six million, eight hundred seven thousand, forty".