6863760820224 has 1920 divisors, whose sum is σ = 27179700387840. Its totient is φ = 1672947302400.

The previous prime is 6863760820187. The next prime is 6863760820229. The reversal of 6863760820224 is 4220280673686.

6863760820224 is a `hidden beast` number, since 6 + 8 + 6 + 3 + 7 + 608 + 2 + 0 + 2 + 24 = 666.

It is a super-2 number, since 2×6863760820224² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6863760820229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17921046337 + ... + 17921046719.

It is an arithmetic number, because the mean of its divisors is an integer number (14156093952).

Almost surely, 2^{6863760820224} is an apocalyptic number.

6863760820224 is a gapful number since it is divisible by the number (64) 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 6863760820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589850193920).

6863760820224 is an abundant number, since it is smaller than the sum of its proper divisors (20315939567616).

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

6863760820224 is a wasteful number, since it uses less digits than its factorization.

6863760820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

It can be divided in two parts, 6863760 and 820224, that added together give a square (7683984 = 2772²).

The spelling of 6863760820224 in words is "six trillion, eight hundred sixty-three billion, seven hundred sixty million, eight hundred twenty thousand, two hundred twenty-four".