6527642556960 has 432 divisors, whose sum is σ = 26351619840000. Its totient is φ = 1466742961152.

The previous prime is 6527642556923. The next prime is 6527642556979. The reversal of 6527642556960 is 696552467256.

6527642556960 is a `hidden beast` number, since 6 + 5 + 2 + 7 + 6 + 4 + 2 + 5 + 569 + 60 = 666.

It is a super-2 number, since 2×6527642556960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3379041 + ... + 4947039.

It is an arithmetic number, because the mean of its divisors is an integer number (60999120000).

Almost surely, 2^{6527642556960} is an apocalyptic number.

6527642556960 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 6527642556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175809920000).

6527642556960 is an abundant number, since it is smaller than the sum of its proper divisors (19823977283040).

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

6527642556960 is a wasteful number, since it uses less digits than its factorization.

6527642556960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568093 (or 1568075 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 6527642556960 in words is "six trillion, five hundred twenty-seven billion, six hundred forty-two million, five hundred fifty-six thousand, nine hundred sixty".