6543515664 has 315 divisors, whose sum is σ = 22320392367. Its totient is φ = 1852103232.

The previous prime is 6543515647. The next prime is 6543515677. The reversal of 6543515664 is 4665153456.

The square root of 6543515664 is 80892.

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

6543515664 is a `hidden beast` number, since 6 + 5 + 435 + 156 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 61154299 + ... + 61154405.

Almost surely, 2^6543515664 is an apocalyptic number.

6543515664 is the 80892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6543515664

6543515664 is an abundant number, since it is smaller than the sum of its proper divisors (15776876703).

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

6543515664 is an equidigital number, since it uses as much as digits as its factorization.

6543515664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 119 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The cubic root of 6543515664 is about 1870.4110036763.

The spelling of 6543515664 in words is "six billion, five hundred forty-three million, five hundred fifteen thousand, six hundred sixty-four".