6888272667840 has 448 divisors, whose sum is σ = 24385237488000. Its totient is φ = 1830465699840.

The previous prime is 6888272667833. The next prime is 6888272667847. The reversal of 6888272667840 is 487662728886.

It is an interprime number because it is at equal distance from previous prime (6888272667833) and next prime (6888272667847).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6888272667847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4626105816 + ... + 4626107304.

Almost surely, 2^{6888272667840} is an apocalyptic number.

6888272667840 is a gapful number since it is divisible by the number (60) 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 6888272667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192618744000).

6888272667840 is an abundant number, since it is smaller than the sum of its proper divisors (17496964820160).

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

6888272667840 is a wasteful number, since it uses less digits than its factorization.

6888272667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 6888272667840 in words is "six trillion, eight hundred eighty-eight billion, two hundred seventy-two million, six hundred sixty-seven thousand, eight hundred forty".