6627583397952 has 672 divisors, whose sum is σ = 22046046718080. Its totient is φ = 1949855846400.

The previous prime is 6627583397933. The next prime is 6627583397957. The reversal of 6627583397952 is 2597933857266.

6627583397952 is a `hidden beast` number, since 6 + 6 + 2 + 7 + 583 + 39 + 7 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6627583397957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1555403502 + ... + 1555407762.

It is an arithmetic number, because the mean of its divisors is an integer number (32806617140).

Almost surely, 2^{6627583397952} 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 6627583397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11023023359040).

6627583397952 is an abundant number, since it is smaller than the sum of its proper divisors (15418463320128).

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

6627583397952 is a wasteful number, since it uses less digits than its factorization.

6627583397952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4493 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 6627583397952 in words is "six trillion, six hundred twenty-seven billion, five hundred eighty-three million, three hundred ninety-seven thousand, nine hundred fifty-two".