61675257616 has 80 divisors (see below), whose sum is σ = 140049036288. Its totient is φ = 25759641600.

The previous prime is 61675257613. The next prime is 61675257673.

61675257616 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (61675257613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4543896 + ... + 4557448.

Almost surely, 2^61675257616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61675257616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70024518144).

61675257616 is an abundant number, since it is smaller than the sum of its proper divisors (78373778672).

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

61675257616 is a wasteful number, since it uses less digits than its factorization.

61675257616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14600 (or 14594 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 52.

The spelling of 61675257616 in words is "sixty-one billion, six hundred seventy-five million, two hundred fifty-seven thousand, six hundred sixteen".