6864781453920 has 576 divisors, whose sum is σ = 27701446893120. Its totient is φ = 1590390816768.

The previous prime is 6864781453913. The next prime is 6864781453921. The reversal of 6864781453920 is 293541874686.

6864781453920 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 78 + 1 + 4 + 539 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864781453921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8193016 + ... + 8991944.

It is an arithmetic number, because the mean of its divisors is an integer number (48092789745).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6864781453920 = 13729562907840, but 3⋅6864781453920 = 20594344361760 is not.

Almost surely, 2^{6864781453920} is an apocalyptic number.

6864781453920 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 6864781453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850723446560).

6864781453920 is an abundant number, since it is smaller than the sum of its proper divisors (20836665439200).

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

6864781453920 is a wasteful number, since it uses less digits than its factorization.

6864781453920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798989 (or 798969 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6864781453920 in words is "six trillion, eight hundred sixty-four billion, seven hundred eighty-one million, four hundred fifty-three thousand, nine hundred twenty".