6886721840640 has 320 divisors, whose sum is σ = 22753495683072. Its totient is φ = 1775082700800.

The previous prime is 6886721840633. The next prime is 6886721840641. The reversal of 6886721840640 is 460481276886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6886721840641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203065285 + ... + 203099195.

Almost surely, 2^{6886721840640} is an apocalyptic number.

6886721840640 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 6886721840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376747841536).

6886721840640 is an abundant number, since it is smaller than the sum of its proper divisors (15866773842432).

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

6886721840640 is a wasteful number, since it uses less digits than its factorization.

6886721840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34821 (or 34805 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 6886721840640 in words is "six trillion, eight hundred eighty-six billion, seven hundred twenty-one million, eight hundred forty thousand, six hundred forty".