610613751660000 has 960 divisors, whose sum is σ = 2314194346759680. Its totient is φ = 139281326080000.

The previous prime is 610613751659969. The next prime is 610613751660007. The reversal of 610613751660000 is 66157316016.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610613751660007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65962375372 + ... + 65962384628.

It is an arithmetic number, because the mean of its divisors is an integer number (2410619111208).

Almost surely, 2^{610613751660000} is an apocalyptic number.

610613751660000 is a gapful number since it is divisible by the number (60) 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 610613751660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157097173379840).

610613751660000 is an abundant number, since it is smaller than the sum of its proper divisors (1703580595099680).

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

610613751660000 is a wasteful number, since it uses less digits than its factorization.

610613751660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15197 (or 15174 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 610613751660000 in words is "six hundred ten trillion, six hundred thirteen billion, seven hundred fifty-one million, six hundred sixty thousand".