610208465504 has 96 divisors (see below), whose sum is σ = 1367913609216. Its totient is φ = 265235998720.

The previous prime is 610208465501. The next prime is 610208465507. The reversal of 610208465504 is 405564802016.

It is an interprime number because it is at equal distance from previous prime (610208465501) and next prime (610208465507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610208465501) 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, 38990609 + ... + 39006255.

It is an arithmetic number, because the mean of its divisors is an integer number (14249100096).

Almost surely, 2^610208465504 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 610208465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683956804608).

610208465504 is an abundant number, since it is smaller than the sum of its proper divisors (757705143712).

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

610208465504 is a wasteful number, since it uses less digits than its factorization.

610208465504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20508 (or 20500 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 610208465504 in words is "six hundred ten billion, two hundred eight million, four hundred sixty-five thousand, five hundred four".