6888640000 has 400 divisors, whose sum is σ = 19942116480. Its totient is φ = 2350080000.

The previous prime is 6888639959. The next prime is 6888640027. The reversal of 6888640000 is 468886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×6888640000² = 94906722099200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66879949 + ... + 66880051.

Almost surely, 2^6888640000 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 6888640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971058240).

6888640000 is an abundant number, since it is smaller than the sum of its proper divisors (13053476480).

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

6888640000 is a wasteful number, since it uses less digits than its factorization.

6888640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 6888640000 is about 82997.8312969682. The cubic root of 6888640000 is about 1902.7329092768.

The spelling of 6888640000 in words is "six billion, eight hundred eighty-eight million, six hundred forty thousand".