610187945664 has 168 divisors, whose sum is σ = 1775389767984. Its totient is φ = 184819712000.

The previous prime is 610187945629. The next prime is 610187945681. The reversal of 610187945664 is 466549781016.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 65068144 + ... + 65077520.

It is an arithmetic number, because the mean of its divisors is an integer number (10567796238).

Almost surely, 2^610187945664 is an apocalyptic number.

610187945664 is a gapful number since it is divisible by the number (64) 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 610187945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887694883992).

610187945664 is an abundant number, since it is smaller than the sum of its proper divisors (1165201822320).

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

610187945664 is a wasteful number, since it uses less digits than its factorization.

610187945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12215 (or 12194 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 610187945664 in words is "six hundred ten billion, one hundred eighty-seven million, nine hundred forty-five thousand, six hundred sixty-four".