66306788760366 has 96 divisors (see below), whose sum is σ = 179118616674816. Its totient is φ = 17222141160000.

The previous prime is 66306788760301. The next prime is 66306788760397.

66306788760366 is a `hidden beast` number, since 6 + 6 + 3 + 0 + 6 + 7 + 8 + 8 + 7 + 603 + 6 + 6 = 666.

66306788760366 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66306788760294 and 66306788760303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61420471 + ... + 62490701.

It is an arithmetic number, because the mean of its divisors is an integer number (1865818923696).

Almost surely, 2^{66306788760366} is an apocalyptic number.

66306788760366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66306788760366 is an abundant number, since it is smaller than the sum of its proper divisors (112811827914450).

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

66306788760366 is a wasteful number, since it uses less digits than its factorization.

66306788760366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114958 (or 1114955 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 66306788760366 in words is "sixty-six trillion, three hundred six billion, seven hundred eighty-eight million, seven hundred sixty thousand, three hundred sixty-six".