610974867456 has 336 divisors, whose sum is σ = 1856822482944. Its totient is φ = 193201569792.

The previous prime is 610974867431. The next prime is 610974867457. The reversal of 610974867456 is 654768479016.

It is a happy number.

610974867456 is a `hidden beast` number, since 6 + 10 + 97 + 4 + 86 + 7 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 610974867393 and 610974867402.

It is not an unprimeable number, because it can be changed into a prime (610974867457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215358070 + ... + 215360906.

Almost surely, 2^610974867456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610974867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928411241472).

610974867456 is an abundant number, since it is smaller than the sum of its proper divisors (1245847615488).

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

610974867456 is a wasteful number, since it uses less digits than its factorization.

610974867456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 610974867456 in words is "six hundred ten billion, nine hundred seventy-four million, eight hundred sixty-seven thousand, four hundred fifty-six".