77066201664 has 189 divisors, whose sum is σ = 226996787433. Its totient is φ = 24998045184.

The previous prime is 77066201627. The next prime is 77066201669. The reversal of 77066201664 is 46610266077.

It is a happy number.

The square root of 77066201664 is 277608.

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

77066201664 is a `hidden beast` number, since 7 + 7 + 0 + 6 + 620 + 16 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5070579264 + 71995622400 = 71208^2 + 268320^2 .

It is not an unprimeable number, because it can be changed into a prime (77066201669) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 286491322 + ... + 286491590.

Almost surely, 2^77066201664 is an apocalyptic number.

77066201664 is the 277608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77066201664

77066201664 is an abundant number, since it is smaller than the sum of its proper divisors (149930585769).

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

77066201664 is an equidigital number, since it uses as much as digits as its factorization.

77066201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 77066201664 in words is "seventy-seven billion, sixty-six million, two hundred one thousand, six hundred sixty-four".