610116756040 has 192 divisors, whose sum is σ = 1576057150080. Its totient is φ = 212005939200.

The previous prime is 610116756001. The next prime is 610116756089. The reversal of 610116756040 is 40657611016.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 151504507 + ... + 151508533.

It is an arithmetic number, because the mean of its divisors is an integer number (8208630990).

Almost surely, 2^610116756040 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 610116756040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788028575040).

610116756040 is an abundant number, since it is smaller than the sum of its proper divisors (965940394040).

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

610116756040 is a wasteful number, since it uses less digits than its factorization.

610116756040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 610116756040 in words is "six hundred ten billion, one hundred sixteen million, seven hundred fifty-six thousand, forty".