6564761500 has 192 divisors, whose sum is σ = 16320245760. Its totient is φ = 2285280000.

The previous prime is 6564761443. The next prime is 6564761509. The reversal of 6564761500 is 51674656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6564761509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23699362 + ... + 23699638.

It is an arithmetic number, because the mean of its divisors is an integer number (85001280).

Almost surely, 2^6564761500 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 6564761500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160122880).

6564761500 is an abundant number, since it is smaller than the sum of its proper divisors (9755484260).

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

6564761500 is a wasteful number, since it uses less digits than its factorization.

6564761500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 6564761500 is about 81023.2158088038. The cubic root of 6564761500 is about 1872.4331335009.

The spelling of 6564761500 in words is "six billion, five hundred sixty-four million, seven hundred sixty-one thousand, five hundred".