61729492716 has 48 divisors (see below), whose sum is σ = 164364826080. Its totient is φ = 20020374720.

The previous prime is 61729492709. The next prime is 61729492733.

61729492716 is a `hidden beast` number, since 61 + 7 + 29 + 492 + 71 + 6 = 666.

61729492716 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7719915 + ... + 7727906.

It is an arithmetic number, because the mean of its divisors is an integer number (3424267210).

Almost surely, 2^61729492716 is an apocalyptic number.

It is an amenable number.

61729492716 is an abundant number, since it is smaller than the sum of its proper divisors (102635333364).

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

61729492716 is a wasteful number, since it uses less digits than its factorization.

61729492716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15447871 (or 15447863 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 61729492716 in words is "sixty-one billion, seven hundred twenty-nine million, four hundred ninety-two thousand, seven hundred sixteen".