6885889920 has 1024 divisors, whose sum is σ = 31256064000. Its totient is φ = 1393459200.

The previous prime is 6885889909. The next prime is 6885889931. The reversal of 6885889920 is 299885886.

It is an interprime number because it is at equal distance from previous prime (6885889909) and next prime (6885889931).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45601845 + ... + 45601995.

It is an arithmetic number, because the mean of its divisors is an integer number (30523500).

Almost surely, 2^6885889920 is an apocalyptic number.

6885889920 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 6885889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032000).

6885889920 is an abundant number, since it is smaller than the sum of its proper divisors (24370174080).

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

6885889920 is a wasteful number, since it uses less digits than its factorization.

6885889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The square root of 6885889920 is about 82981.2624632814. The cubic root of 6885889920 is about 1902.4796728275.

The spelling of 6885889920 in words is "six billion, eight hundred eighty-five million, eight hundred eighty-nine thousand, nine hundred twenty".