610464464016 has 160 divisors (see below), whose sum is σ = 1778160202368. Its totient is φ = 178842193920.

The previous prime is 610464463993. The next prime is 610464464107.

610464464016 is nontrivially palindromic in base 10.

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, 2967636 + ... + 3166668.

Almost surely, 2^610464464016 is an apocalyptic number.

610464464016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610464464016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889080101184).

610464464016 is an abundant number, since it is smaller than the sum of its proper divisors (1167695738352).

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

610464464016 is a wasteful number, since it uses less digits than its factorization.

610464464016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199249 (or 199243 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 610464464016 in words is "six hundred ten billion, four hundred sixty-four million, four hundred sixty-four thousand, sixteen".