6888677892642 has 768 divisors, whose sum is σ = 20462911193088. Its totient is φ = 1685393879040.

The previous prime is 6888677892617. The next prime is 6888677892643. The reversal of 6888677892642 is 2462987768886.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (6888677892643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30346598533 + ... + 30346598759.

It is an arithmetic number, because the mean of its divisors is an integer number (26644415616).

Almost surely, 2^{6888677892642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6888677892642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231455596544).

6888677892642 is an abundant number, since it is smaller than the sum of its proper divisors (13574233300446).

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

6888677892642 is a wasteful number, since it uses less digits than its factorization.

6888677892642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 673 counting only the distinct ones).

The product of its digits is 6242697216, while the sum is 81.

The spelling of 6888677892642 in words is "six trillion, eight hundred eighty-eight billion, six hundred seventy-seven million, eight hundred ninety-two thousand, six hundred forty-two".