7664866560 has 648 divisors, whose sum is σ = 29876281344. Its totient is φ = 1811496960.

The previous prime is 7664866543. The next prime is 7664866579. The reversal of 7664866560 is 656684667.

7664866560 is a `hidden beast` number, since 76 + 6 + 4 + 8 + 6 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7664866497 and 7664866506.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 60353217 + ... + 60353343.

Almost surely, 2^7664866560 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 7664866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938140672).

7664866560 is an abundant number, since it is smaller than the sum of its proper divisors (22211414784).

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

7664866560 is a wasteful number, since it uses less digits than its factorization.

7664866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The square root of 7664866560 is about 87549.2236401900. The cubic root of 7664866560 is about 1971.6728950950.

The spelling of 7664866560 in words is "seven billion, six hundred sixty-four million, eight hundred sixty-six thousand, five hundred sixty".