5664301632 has 336 divisors, whose sum is σ = 18897795072. Its totient is φ = 1604951040.

The previous prime is 5664301631. The next prime is 5664301633. The reversal of 5664301632 is 2361034665.

5664301632 is a `hidden beast` number, since 5 + 6 + 643 + 0 + 1 + 6 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5664301631) and next prime (5664301633).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5664301631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6848803 + ... + 6849629.

Almost surely, 2^5664301632 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 5664301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448897536).

5664301632 is an abundant number, since it is smaller than the sum of its proper divisors (13233493440).

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

5664301632 is a wasteful number, since it uses less digits than its factorization.

5664301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5664301632 is about 75261.5548072188. The cubic root of 5664301632 is about 1782.5790195557.

The spelling of 5664301632 in words is "five billion, six hundred sixty-four million, three hundred one thousand, six hundred thirty-two".