2628372096800 has 72 divisors (see below), whose sum is σ = 6451964086932. Its totient is φ = 1045540224000.

The previous prime is 2628372096751. The next prime is 2628372096811. The reversal of 2628372096800 is 86902738262.

It can be written as a sum of positive squares in 6 ways, for example, as 939651054736 + 1688721042064 = 969356^2 + 1299508^2 .

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 11 ways as a sum of consecutive naturals, for example, 8931071 + ... + 9220670.

Almost surely, 2^{2628372096800} is an apocalyptic number.

2628372096800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2628372096800 is an abundant number, since it is smaller than the sum of its proper divisors (3823591990132).

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

2628372096800 is a wasteful number, since it uses less digits than its factorization.

2628372096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18151942 (or 18151929 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 2628372096800 in words is "two trillion, six hundred twenty-eight billion, three hundred seventy-two million, ninety-six thousand, eight hundred".