6630901275672 has 320 divisors, whose sum is σ = 20907395974080. Its totient is φ = 1952287653888.

The previous prime is 6630901275671. The next prime is 6630901275751. The reversal of 6630901275672 is 2765721090366.

6630901275672 is a `hidden beast` number, since 6 + 6 + 309 + 0 + 1 + 275 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6630901275671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13181608 + ... + 13675400.

It is an arithmetic number, because the mean of its divisors is an integer number (65335612419).

Almost surely, 2^{6630901275672} 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 6630901275672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10453697987040).

6630901275672 is an abundant number, since it is smaller than the sum of its proper divisors (14276494698408).

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

6630901275672 is a wasteful number, since it uses less digits than its factorization.

6630901275672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493904 (or 493891 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 6630901275672 in words is "six trillion, six hundred thirty billion, nine hundred one million, two hundred seventy-five thousand, six hundred seventy-two".