66257362707705 has 192 divisors, whose sum is σ = 137711338652160. Its totient is φ = 29153723461632.

The previous prime is 66257362707673. The next prime is 66257362707709. The reversal of 66257362707705 is 50770726375266.

It is not a de Polignac number, because 66257362707705 - 2⁵ = 66257362707673 is a prime.

It is a super-2 number, since 2×66257362707705² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66257362707709) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16886899 + ... + 20437271.

It is an arithmetic number, because the mean of its divisors is an integer number (717246555480).

Almost surely, 2^{66257362707705} is an apocalyptic number.

66257362707705 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66257362707705 is an abundant number, since it is smaller than the sum of its proper divisors (71453975944455).

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

66257362707705 is a wasteful number, since it uses less digits than its factorization.

66257362707705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550512 (or 3550509 counting only the distinct ones).

The product of its (nonzero) digits is 155584800, while the sum is 63.

The spelling of 66257362707705 in words is "sixty-six trillion, two hundred fifty-seven billion, three hundred sixty-two million, seven hundred seven thousand, seven hundred five".