6413917608 has 160 divisors (see below), whose sum is σ = 21194088960. Its totient is φ = 1773394560.

The previous prime is 6413917579. The next prime is 6413917613. The reversal of 6413917608 is 8067193146.

It is a happy number.

6413917608 is a `hidden beast` number, since 6 + 4 + 1 + 39 + 1 + 7 + 608 = 666.

It is a super-2 number, since 2×6413917608² = 82276678164424883328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117810 + ... + 163422.

It is an arithmetic number, because the mean of its divisors is an integer number (132463056).

Almost surely, 2^6413917608 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 6413917608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10597044480).

6413917608 is an abundant number, since it is smaller than the sum of its proper divisors (14780171352).

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

6413917608 is a wasteful number, since it uses less digits than its factorization.

6413917608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45669 (or 45656 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6413917608 is about 80086.9378113560. The cubic root of 6413917608 is about 1857.9803885192.

The spelling of 6413917608 in words is "six billion, four hundred thirteen million, nine hundred seventeen thousand, six hundred eight".