610531483968 has 560 divisors, whose sum is σ = 2265602296320. Its totient is φ = 158510628864.

The previous prime is 610531483897. The next prime is 610531483979. The reversal of 610531483968 is 869384135016.

610531483968 is a `hidden beast` number, since 6 + 1 + 0 + 531 + 48 + 3 + 9 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 17872921 + ... + 17907047.

Almost surely, 2^610531483968 is an apocalyptic number.

610531483968 is a gapful number since it is divisible by the number (68) 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 610531483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132801148160).

610531483968 is an abundant number, since it is smaller than the sum of its proper divisors (1655070812352).

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

610531483968 is a wasteful number, since it uses less digits than its factorization.

610531483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34204 (or 34185 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 610531483968 in words is "six hundred ten billion, five hundred thirty-one million, four hundred eighty-three thousand, nine hundred sixty-eight".