2648327606672 has 80 divisors (see below), whose sum is σ = 5678315136000. Its totient is φ = 1186540629120.

The previous prime is 2648327606657. The next prime is 2648327606681. The reversal of 2648327606672 is 2766067238462.

It is a super-2 number, since 2×2648327606672² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3394229 + ... + 4100907.

It is an arithmetic number, because the mean of its divisors is an integer number (70978939200).

Almost surely, 2^{2648327606672} is an apocalyptic number.

2648327606672 is a gapful number since it is divisible by the number (22) 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 2648327606672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839157568000).

2648327606672 is an abundant number, since it is smaller than the sum of its proper divisors (3029987529328).

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

2648327606672 is a wasteful number, since it uses less digits than its factorization.

2648327606672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707004 (or 706998 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 59.

The spelling of 2648327606672 in words is "two trillion, six hundred forty-eight billion, three hundred twenty-seven million, six hundred six thousand, six hundred seventy-two".