610231404960 has 576 divisors, whose sum is σ = 2199217456800. Its totient is φ = 153870925824.

The previous prime is 610231404919. The next prime is 610231404967. The reversal of 610231404960 is 69404132016.

610231404960 is a `hidden beast` number, since 6 + 1 + 0 + 23 + 140 + 496 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 14698167696 + 595533237264 = 121236^2 + 771708^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (610231404967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419979594 + ... + 419981046.

Almost surely, 2^610231404960 is an apocalyptic number.

610231404960 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 610231404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099608728400).

610231404960 is an abundant number, since it is smaller than the sum of its proper divisors (1588986051840).

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

610231404960 is a wasteful number, since it uses less digits than its factorization.

610231404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 610231404960 its reverse (69404132016), we get a palindrome (679635536976).

The spelling of 610231404960 in words is "six hundred ten billion, two hundred thirty-one million, four hundred four thousand, nine hundred sixty".