647732064 has 192 divisors, whose sum is σ = 2022451200. Its totient is φ = 177666048.

The previous prime is 647732047. The next prime is 647732093. The reversal of 647732064 is 460237746.

647732064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2710057 + ... + 2710295.

It is an arithmetic number, because the mean of its divisors is an integer number (10533600).

Almost surely, 2^647732064 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 647732064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011225600).

647732064 is an abundant number, since it is smaller than the sum of its proper divisors (1374719136).

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

647732064 is a wasteful number, since it uses less digits than its factorization.

647732064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 647732064 is about 25450.5808185196. The cubic root of 647732064 is about 865.2304570444.

The spelling of 647732064 in words is "six hundred forty-seven million, seven hundred thirty-two thousand, sixty-four".