610606110965760 has 7680 divisors, whose sum is σ = 3009087024768000. Its totient is φ = 115432312799232.

The previous prime is 610606110965759. The next prime is 610606110965789. The reversal of 610606110965760 is 67569011606016.

It is a happy number.

610606110965760 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 0 + 61 + 1 + 0 + 9 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 610606110965697 and 610606110965706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6860742819796 + ... + 6860742819884.

It is an arithmetic number, because the mean of its divisors is an integer number (391808206350).

Almost surely, 2^{610606110965760} is an apocalyptic number.

610606110965760 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 610606110965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504543512384000).

610606110965760 is an abundant number, since it is smaller than the sum of its proper divisors (2398480913802240).

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

610606110965760 is a wasteful number, since it uses less digits than its factorization.

610606110965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 610606110965760 in words is "six hundred ten trillion, six hundred six billion, one hundred ten million, nine hundred sixty-five thousand, seven hundred sixty".