2007627657768 has 48 divisors (see below), whose sum is σ = 5439458524500. Its totient is φ = 668946620160.

The previous prime is 2007627657751. The next prime is 2007627657787. The reversal of 2007627657768 is 8677567267002.

It can be written as a sum of positive squares in 2 ways, for example, as 1857872589444 + 149755068324 = 1363038^2 + 386982^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5286013 + ... + 5653068.

Almost surely, 2^{2007627657768} is an apocalyptic number.

It is an amenable number.

2007627657768 is an abundant number, since it is smaller than the sum of its proper divisors (3431830866732).

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

2007627657768 is a wasteful number, since it uses less digits than its factorization.

2007627657768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941642 (or 10941635 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 2007627657768 in words is "two trillion, seven billion, six hundred twenty-seven million, six hundred fifty-seven thousand, seven hundred sixty-eight".