61680188108616 has 128 divisors (see below), whose sum is σ = 192641487528960. Its totient is φ = 15988198867200.

The previous prime is 61680188108599. The next prime is 61680188108681.

It is a happy number.

61680188108616 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×61680188108616³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 61680188108616.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33081151 + ... + 34895886.

It is an arithmetic number, because the mean of its divisors is an integer number (1505011621320).

Almost surely, 2^{61680188108616} is an apocalyptic number.

61680188108616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61680188108616 is an abundant number, since it is smaller than the sum of its proper divisors (130961299420344).

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

61680188108616 is a wasteful number, since it uses less digits than its factorization.

61680188108616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67977555 (or 67977551 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 60.

The spelling of 61680188108616 in words is "sixty-one trillion, six hundred eighty billion, one hundred eighty-eight million, one hundred eight thousand, six hundred sixteen".