6580413027972 has 1296 divisors, whose sum is σ = 22560437390400. Its totient is φ = 1666598976000.

The previous prime is 6580413027961. The next prime is 6580413027983. The reversal of 6580413027972 is 2797203140856.

It is a happy number.

6580413027972 is a `hidden beast` number, since 6 + 580 + 4 + 1 + 30 + 27 + 9 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6580413027961) and next prime (6580413027983).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 431 ways as a sum of consecutive naturals, for example, 26216784847 + ... + 26216785097.

It is an arithmetic number, because the mean of its divisors is an integer number (17407744900).

It is a 1-persistent number, because it is pandigital, but 2⋅6580413027972 = 13160826055944 is not.

Almost surely, 2^{6580413027972} 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 6580413027972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280218695200).

6580413027972 is an abundant number, since it is smaller than the sum of its proper divisors (15980024362428).

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

6580413027972 is a wasteful number, since it uses less digits than its factorization.

6580413027972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 6580413027972 in words is "six trillion, five hundred eighty billion, four hundred thirteen million, twenty-seven thousand, nine hundred seventy-two".