61667627026566 has 64 divisors (see below), whose sum is σ = 139149634682880. Its totient is φ = 18058047065760.

The previous prime is 61667627026561. The next prime is 61667627026571. The reversal of 61667627026566 is 66562072676616.

It is an interprime number because it is at equal distance from previous prime (61667627026561) and next prime (61667627026571).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 61667627026497 and 61667627026506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61667627026561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125577456 + ... + 126067571.

It is an arithmetic number, because the mean of its divisors is an integer number (2174213041920).

Almost surely, 2^{61667627026566} is an apocalyptic number.

61667627026566 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

61667627026566 is an abundant number, since it is smaller than the sum of its proper divisors (77482007656314).

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

61667627026566 is a wasteful number, since it uses less digits than its factorization.

61667627026566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251645169.

The product of its (nonzero) digits is 274337280, while the sum is 66.

The spelling of 61667627026566 in words is "sixty-one trillion, six hundred sixty-seven billion, six hundred twenty-seven million, twenty-six thousand, five hundred sixty-six".