66406361310 has 24 divisors (see below), whose sum is σ = 172656539640. Its totient is φ = 17708362992.

The previous prime is 66406361303. The next prime is 66406361339. The reversal of 66406361310 is 1316360466.

66406361310 is a `hidden beast` number, since 6 + 6 + 4 + 0 + 636 + 1 + 3 + 10 = 666.

It is a super-2 number, since 2×66406361310² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368924140 + ... + 368924319.

It is an arithmetic number, because the mean of its divisors is an integer number (7194022485).

Almost surely, 2^66406361310 is an apocalyptic number.

66406361310 is an abundant number, since it is smaller than the sum of its proper divisors (106250178330).

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

66406361310 is a wasteful number, since it uses less digits than its factorization.

66406361310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737848472 (or 737848469 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 66406 and 361310, that added together give a square (427716 = 654²).

The spelling of 66406361310 in words is "sixty-six billion, four hundred six million, three hundred sixty-one thousand, three hundred ten".