610460064016 has 60 divisors (see below), whose sum is σ = 1307248951372. Its totient is φ = 275948640000.

The previous prime is 610460063981. The next prime is 610460064017.

610460064016 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 179725123600 + 430734940416 = 423940^2 + 656304^2 .

It is a super-2 number, since 2×610460064016² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (610460064017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520635 + ... + 1221466.

Almost surely, 2^610460064016 is an apocalyptic number.

It is an amenable number.

610460064016 is an abundant number, since it is smaller than the sum of its proper divisors (696788887356).

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

610460064016 is a wasteful number, since it uses less digits than its factorization.

610460064016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742312 (or 1742295 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 6104600 and 64016, that added together give a palindrome (6168616).

The spelling of 610460064016 in words is "six hundred ten billion, four hundred sixty million, sixty-four thousand, sixteen".