5648033664 has 256 divisors, whose sum is σ = 20517504000. Its totient is φ = 1489508352.

The previous prime is 5648033659. The next prime is 5648033681. The reversal of 5648033664 is 4663308465.

5648033664 is a `hidden beast` number, since 564 + 80 + 3 + 3 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305517 + ... + 323475.

It is an arithmetic number, because the mean of its divisors is an integer number (80146500).

Almost surely, 2^5648033664 is an apocalyptic number.

5648033664 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 5648033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10258752000).

5648033664 is an abundant number, since it is smaller than the sum of its proper divisors (14869470336).

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

5648033664 is a wasteful number, since it uses less digits than its factorization.

5648033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18002 (or 17984 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 5648033664 is about 75153.4008811311. The cubic root of 5648033664 is about 1780.8708510691.

The spelling of 5648033664 in words is "five billion, six hundred forty-eight million, thirty-three thousand, six hundred sixty-four".