6886225920 has 384 divisors, whose sum is σ = 26015109120. Its totient is φ = 1521745920.

The previous prime is 6886225867. The next prime is 6886225961. The reversal of 6886225920 is 295226886.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6886225920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6665724 + ... + 6666756.

It is an arithmetic number, because the mean of its divisors is an integer number (67747680).

Almost surely, 2^6886225920 is an apocalyptic number.

6886225920 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 6886225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007554560).

6886225920 is an abundant number, since it is smaller than the sum of its proper divisors (19128883200).

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

6886225920 is a wasteful number, since it uses less digits than its factorization.

6886225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 6886225920 is about 82983.2869920203. The cubic root of 6886225920 is about 1902.5106164325.

The spelling of 6886225920 in words is "six billion, eight hundred eighty-six million, two hundred twenty-five thousand, nine hundred twenty".