610736738568 has 384 divisors, whose sum is σ = 1886443776000. Its totient is φ = 162898145280.

The previous prime is 610736738509. The next prime is 610736738569. The reversal of 610736738568 is 865837637016.

It is not an unprimeable number, because it can be changed into a prime (610736738569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114517630 + ... + 114522962.

It is an arithmetic number, because the mean of its divisors is an integer number (4912614000).

Almost surely, 2^610736738568 is an apocalyptic number.

610736738568 is a gapful number since it is divisible by the number (68) 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 610736738568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943221888000).

610736738568 is an abundant number, since it is smaller than the sum of its proper divisors (1275707037432).

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

610736738568 is a wasteful number, since it uses less digits than its factorization.

610736738568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 610736738568 in words is "six hundred ten billion, seven hundred thirty-six million, seven hundred thirty-eight thousand, five hundred sixty-eight".