66464964864 has 243 divisors, whose sum is σ = 197933758477. Its totient is φ = 21449625600.

The previous prime is 66464964833. The next prime is 66464964871. The reversal of 66464964864 is 46846946466.

The square root of 66464964864 is 257808.

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

66464964864 is a `hidden beast` number, since 6 + 6 + 4 + 64 + 96 + 486 + 4 = 666.

66464964864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3202654464 + 63262310400 = 56592^2 + 251520^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 507366079 + ... + 507366209.

Almost surely, 2^66464964864 is an apocalyptic number.

66464964864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

66464964864 is the 257808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66464964864

66464964864 is an abundant number, since it is smaller than the sum of its proper divisors (131468793613).

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

66464964864 is an equidigital number, since it uses as much as digits as its factorization.

66464964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 177 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 63.

The spelling of 66464964864 in words is "sixty-six billion, four hundred sixty-four million, nine hundred sixty-four thousand, eight hundred sixty-four".