6481538064 has 45 divisors (see below), whose sum is σ = 18142008573. Its totient is φ = 2160190656.

The previous prime is 6481538051. The next prime is 6481538081. The reversal of 6481538064 is 4608351846.

The square root of 6481538064 is 80508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4291298064 + 2190240000 = 65508^2 + 46800^2 .

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 8 ways as a sum of consecutive naturals, for example, 962742 + ... + 969450.

Almost surely, 2^6481538064 is an apocalyptic number.

6481538064 is the 80508-th square number.

It is an amenable number.

6481538064 is an abundant number, since it is smaller than the sum of its proper divisors (11660470509).

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

6481538064 is an frugal number, since it uses more digits than its factorization.

6481538064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13432 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The cubic root of 6481538064 is about 1864.4869956831.

The spelling of 6481538064 in words is "six billion, four hundred eighty-one million, five hundred thirty-eight thousand, sixty-four".