5505905664 has 528 divisors, whose sum is σ = 19670851200. Its totient is φ = 1504935936.

The previous prime is 5505905591. The next prime is 5505905681. The reversal of 5505905664 is 4665095055.

5505905664 is a `hidden beast` number, since 5 + 5 + 0 + 590 + 56 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50512842 + ... + 50512950.

It is an arithmetic number, because the mean of its divisors is an integer number (37255400).

Almost surely, 2^5505905664 is an apocalyptic number.

5505905664 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 5505905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835425600).

5505905664 is an abundant number, since it is smaller than the sum of its proper divisors (14164945536).

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

5505905664 is a wasteful number, since it uses less digits than its factorization.

5505905664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 5505905664 is about 74201.7901670842. The cubic root of 5505905664 is about 1765.8057310948.

The spelling of 5505905664 in words is "five billion, five hundred five million, nine hundred five thousand, six hundred sixty-four".