6888888643728 has 320 divisors, whose sum is σ = 23069083484160. Its totient is φ = 1720244127744.

The previous prime is 6888888643613. The next prime is 6888888643753. The reversal of 6888888643728 is 8273468888886.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151271650 + ... + 151317182.

It is an arithmetic number, because the mean of its divisors is an integer number (72090885888).

Almost surely, 2^{6888888643728} 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 6888888643728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534541742080).

6888888643728 is an abundant number, since it is smaller than the sum of its proper divisors (16180194840432).

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

6888888643728 is a wasteful number, since it uses less digits than its factorization.

6888888643728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47406 (or 47400 counting only the distinct ones).

The product of its digits is 12683575296, while the sum is 84.

The spelling of 6888888643728 in words is "six trillion, eight hundred eighty-eight billion, eight hundred eighty-eight million, six hundred forty-three thousand, seven hundred twenty-eight".