66901522431744 has 2592 divisors, whose sum is σ = 270016524890112. Its totient is φ = 15490090598400.

The previous prime is 66901522431721. The next prime is 66901522431749. The reversal of 66901522431744 is 44713422510966.

66901522431744 is a `hidden beast` number, since 6 + 6 + 9 + 0 + 1 + 522 + 43 + 1 + 74 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66901522431749) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 246869086329 + ... + 246869086599.

Almost surely, 2^{66901522431744} is an apocalyptic number.

66901522431744 is a gapful number since it is divisible by the number (64) 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 66901522431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135008262445056).

66901522431744 is an abundant number, since it is smaller than the sum of its proper divisors (203115002458368).

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

66901522431744 is a wasteful number, since it uses less digits than its factorization.

66901522431744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 66901522431744 in words is "sixty-six trillion, nine hundred one billion, five hundred twenty-two million, four hundred thirty-one thousand, seven hundred forty-four".