5617456704 has 448 divisors, whose sum is σ = 18668390400. Its totient is φ = 1647765504.

The previous prime is 5617456673. The next prime is 5617456763. The reversal of 5617456704 is 4076547165.

It is a self number, because there is not a number n which added to its sum of digits gives 5617456704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32470762 + ... + 32470934.

Almost surely, 2^5617456704 is an apocalyptic number.

5617456704 is a gapful number since it is divisible by the number (54) 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 5617456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9334195200).

5617456704 is an abundant number, since it is smaller than the sum of its proper divisors (13050933696).

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

5617456704 is a wasteful number, since it uses less digits than its factorization.

5617456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5617456704 is about 74949.6944890371. The cubic root of 5617456704 is about 1777.6513129391.

The spelling of 5617456704 in words is "five billion, six hundred seventeen million, four hundred fifty-six thousand, seven hundred four".