6864241950720 has 1824 divisors, whose sum is σ = 30792843513600. Its totient is φ = 1420107448320.

The previous prime is 6864241950719. The next prime is 6864241950773. The reversal of 6864241950720 is 270591424686.

6864241950720 is a `hidden beast` number, since 6 + 8 + 6 + 424 + 195 + 0 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29974855566 + ... + 29974855794.

It is an arithmetic number, because the mean of its divisors is an integer number (16882041400).

Almost surely, 2^{6864241950720} is an apocalyptic number.

6864241950720 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 6864241950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396421756800).

6864241950720 is an abundant number, since it is smaller than the sum of its proper divisors (23928601562880).

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

6864241950720 is an equidigital number, since it uses as much as digits as its factorization.

6864241950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6864241950720 in words is "six trillion, eight hundred sixty-four billion, two hundred forty-one million, nine hundred fifty thousand, seven hundred twenty".