5507633664 has 320 divisors, whose sum is σ = 18492566400. Its totient is φ = 1604468736.

The previous prime is 5507633623. The next prime is 5507633669. The reversal of 5507633664 is 4663367055.

5507633664 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 633 + 6 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5507633669) 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 31 ways as a sum of consecutive naturals, for example, 3413722 + ... + 3415334.

It is an arithmetic number, because the mean of its divisors is an integer number (57789270).

Almost surely, 2^5507633664 is an apocalyptic number.

5507633664 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 5507633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246283200).

5507633664 is an abundant number, since it is smaller than the sum of its proper divisors (12984932736).

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

5507633664 is a wasteful number, since it uses less digits than its factorization.

5507633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The square root of 5507633664 is about 74213.4331775589. The cubic root of 5507633664 is about 1765.9904414363.

The spelling of 5507633664 in words is "five billion, five hundred seven million, six hundred thirty-three thousand, six hundred sixty-four".