610934620160 has 256 divisors, whose sum is σ = 1538992483200. Its totient is φ = 232495513600.

The previous prime is 610934620159. The next prime is 610934620169. The reversal of 610934620160 is 61026439016.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×610934620160² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (610934620169) 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 15 ways as a sum of consecutive naturals, for example, 337345655 + ... + 337347465.

Almost surely, 2^610934620160 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 610934620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769496241600).

610934620160 is an abundant number, since it is smaller than the sum of its proper divisors (928057863040).

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

610934620160 is an equidigital number, since it uses as much as digits as its factorization.

610934620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 610934620160 in words is "six hundred ten billion, nine hundred thirty-four million, six hundred twenty thousand, one hundred sixty".