6531827626380 has 576 divisors, whose sum is σ = 22392579686400. Its totient is φ = 1416592074240.

The previous prime is 6531827626343. The next prime is 6531827626393. The reversal of 6531827626380 is 836267281356.

It is a self number, because there is not a number n which added to its sum of digits gives 6531827626380.

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 191 ways as a sum of consecutive naturals, for example, 2360615757 + ... + 2360618523.

It is an arithmetic number, because the mean of its divisors is an integer number (38876006400).

Almost surely, 2^{6531827626380} is an apocalyptic number.

6531827626380 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 6531827626380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196289843200).

6531827626380 is an abundant number, since it is smaller than the sum of its proper divisors (15860752060020).

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

6531827626380 is a wasteful number, since it uses less digits than its factorization.

6531827626380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 6531827626380 in words is "six trillion, five hundred thirty-one billion, eight hundred twenty-seven million, six hundred twenty-six thousand, three hundred eighty".