6564752557740 has 768 divisors, whose sum is σ = 23035733360640. Its totient is φ = 1541126062080.

The previous prime is 6564752557739. The next prime is 6564752557789. The reversal of 6564752557740 is 477552574656.

6564752557740 is a `hidden beast` number, since 6 + 5 + 6 + 4 + 7 + 5 + 2 + 557 + 74 + 0 = 666.

It is a super-2 number, since 2×6564752557740² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6480505474 + ... + 6480506486.

It is an arithmetic number, because the mean of its divisors is an integer number (29994444480).

Almost surely, 2^{6564752557740} is an apocalyptic number.

6564752557740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6564752557740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517866680320).

6564752557740 is an abundant number, since it is smaller than the sum of its proper divisors (16470980802900).

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

6564752557740 is a wasteful number, since it uses less digits than its factorization.

6564752557740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 246960000, while the sum is 63.

The spelling of 6564752557740 in words is "six trillion, five hundred sixty-four billion, seven hundred fifty-two million, five hundred fifty-seven thousand, seven hundred forty".