667736026243440 has 1280 divisors, whose sum is σ = 2616721976217600. Its totient is φ = 136833924464640.

The previous prime is 667736026243423. The next prime is 667736026243471. The reversal of 667736026243440 is 44342620637766.

667736026243440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 238732936122 + ... + 238732938918.

It is an arithmetic number, because the mean of its divisors is an integer number (2044314043920).

Almost surely, 2^{667736026243440} is an apocalyptic number.

667736026243440 is a gapful number since it is divisible by the number (60) 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 667736026243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308360988108800).

667736026243440 is an abundant number, since it is smaller than the sum of its proper divisors (1948985949974160).

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

667736026243440 is a wasteful number, since it uses less digits than its factorization.

667736026243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 60.

The spelling of 667736026243440 in words is "six hundred sixty-seven trillion, seven hundred thirty-six billion, twenty-six million, two hundred forty-three thousand, four hundred forty".