61766611666716 has 96 divisors (see below), whose sum is σ = 159442665338880. Its totient is φ = 18453054110400.

The previous prime is 61766611666687. The next prime is 61766611666717.

61766611666716 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61766611666716² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61766611666717) 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, 548946135 + ... + 549058641.

It is an arithmetic number, because the mean of its divisors is an integer number (1660861097280).

Almost surely, 2^{61766611666716} is an apocalyptic number.

61766611666716 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61766611666716 is an abundant number, since it is smaller than the sum of its proper divisors (97676053672164).

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

61766611666716 is a wasteful number, since it uses less digits than its factorization.

61766611666716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171175 (or 171173 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 66.

The spelling of 61766611666716 in words is "sixty-one trillion, seven hundred sixty-six billion, six hundred eleven million, six hundred sixty-six thousand, seven hundred sixteen".