7665352704 has 285 divisors, whose sum is σ = 24170154987. Its totient is φ = 2420637696.

The previous prime is 7665352687. The next prime is 7665352711. The reversal of 7665352704 is 4072535667.

The square root of 7665352704 is 87552.

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

7665352704 is a `hidden beast` number, since 76 + 6 + 53 + 527 + 0 + 4 = 666.

It is a super-2 number, since 2×7665352704² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7665352704.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 403439607 + ... + 403439625.

Almost surely, 2^7665352704 is an apocalyptic number.

7665352704 is the 87552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7665352704

7665352704 is an abundant number, since it is smaller than the sum of its proper divisors (16504802283).

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

7665352704 is an frugal number, since it uses more digits than its factorization.

7665352704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The cubic root of 7665352704 is about 1971.7145786510.

The spelling of 7665352704 in words is "seven billion, six hundred sixty-five million, three hundred fifty-two thousand, seven hundred four".