6527280775680 has 1120 divisors, whose sum is σ = 27259548991488. Its totient is φ = 1467312537600.

The previous prime is 6527280775667. The next prime is 6527280775711. The reversal of 6527280775680 is 865770827256.

6527280775680 is a `hidden beast` number, since 6 + 527 + 28 + 0 + 7 + 7 + 5 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 796880385 + ... + 796888575.

Almost surely, 2^{6527280775680} is an apocalyptic number.

6527280775680 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 6527280775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629774495744).

6527280775680 is an abundant number, since it is smaller than the sum of its proper divisors (20732268215808).

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

6527280775680 is an frugal number, since it uses more digits than its factorization.

6527280775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 6527280775680 in words is "six trillion, five hundred twenty-seven billion, two hundred eighty million, seven hundred seventy-five thousand, six hundred eighty".