64511936064 has 189 divisors, whose sum is σ = 195507238017. Its totient is φ = 20335615488.

The previous prime is 64511936053. The next prime is 64511936081. The reversal of 64511936064 is 46063911546.

The square root of 64511936064 is 253992.

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

64511936064 is a `hidden beast` number, since 6 + 451 + 193 + 6 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5661057600 + 58850878464 = 75240^2 + 242592^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 115820074 + ... + 115820630.

Almost surely, 2^64511936064 is an apocalyptic number.

64511936064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64511936064 is the 253992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64511936064

64511936064 is an abundant number, since it is smaller than the sum of its proper divisors (130995301953).

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

64511936064 is an equidigital number, since it uses as much as digits as its factorization.

64511936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 64511936064 in words is "sixty-four billion, five hundred eleven million, nine hundred thirty-six thousand, sixty-four".