6543633264 has 160 divisors (see below), whose sum is σ = 20351078400. Its totient is φ = 1809158400.

The previous prime is 6543633253. The next prime is 6543633277. The reversal of 6543633264 is 4623363456.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503974 + ... + 516794.

It is an arithmetic number, because the mean of its divisors is an integer number (127194240).

Almost surely, 2^6543633264 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 6543633264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175539200).

6543633264 is an abundant number, since it is smaller than the sum of its proper divisors (13807445136).

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

6543633264 is a wasteful number, since it uses less digits than its factorization.

6543633264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12884 (or 12864 counting only the distinct ones).

The product of its digits is 933120, while the sum is 42.

The square root of 6543633264 is about 80892.7268918535. The cubic root of 6543633264 is about 1870.4222086120.

The spelling of 6543633264 in words is "six billion, five hundred forty-three million, six hundred thirty-three thousand, two hundred sixty-four".