610434633366 has 96 divisors (see below), whose sum is σ = 1383566745600. Its totient is φ = 194293512000.

The previous prime is 610434633349. The next prime is 610434633427. The reversal of 610434633366 is 663336434016.

610434633366 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 3 + 4 + 633 + 3 + 6 + 6 = 666.

It is a super-2 number, since 2×610434633366² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 12530131 + ... + 12578753.

It is an arithmetic number, because the mean of its divisors is an integer number (14412153600).

Almost surely, 2^610434633366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610434633366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691783372800).

610434633366 is an abundant number, since it is smaller than the sum of its proper divisors (773132112234).

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

610434633366 is a wasteful number, since it uses less digits than its factorization.

610434633366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48962 (or 48959 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 610434633366 in words is "six hundred ten billion, four hundred thirty-four million, six hundred thirty-three thousand, three hundred sixty-six".