66805705625472 has 1536 divisors, whose sum is σ = 234326711808000. Its totient is φ = 18678933504000.

The previous prime is 66805705625467. The next prime is 66805705625579. The reversal of 66805705625472 is 27452650750866.

66805705625472 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 570 + 5 + 6 + 2 + 54 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31203037522 + ... + 31203039662.

It is an arithmetic number, because the mean of its divisors is an integer number (152556453000).

Almost surely, 2^{66805705625472} is an apocalyptic number.

66805705625472 is a gapful number since it is divisible by the number (62) 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 66805705625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117163355904000).

66805705625472 is an abundant number, since it is smaller than the sum of its proper divisors (167521006182528).

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

66805705625472 is a wasteful number, since it uses less digits than its factorization.

66805705625472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 66805705625472 in words is "sixty-six trillion, eight hundred five billion, seven hundred five million, six hundred twenty-five thousand, four hundred seventy-two".