606461619456 has 1296 divisors, whose sum is σ = 2334356152128. Its totient is φ = 149564620800.

The previous prime is 606461619437. The next prime is 606461619461. The reversal of 606461619456 is 654916164606.

It is a happy number.

606461619456 is a `hidden beast` number, since 6 + 0 + 6 + 4 + 616 + 19 + 4 + 5 + 6 = 666.

606461619456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2189391990 + ... + 2189392266.

Almost surely, 2^606461619456 is an apocalyptic number.

606461619456 is a gapful number since it is divisible by the number (66) 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 606461619456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167178076064).

606461619456 is an abundant number, since it is smaller than the sum of its proper divisors (1727894532672).

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

606461619456 is a wasteful number, since it uses less digits than its factorization.

606461619456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 606461619456 in words is "six hundred six billion, four hundred sixty-one million, six hundred nineteen thousand, four hundred fifty-six".