6824669478912 has 468 divisors, whose sum is σ = 21133386265056. Its totient is φ = 2201506283520.

The previous prime is 6824669478901. The next prime is 6824669479037. The reversal of 6824669478912 is 2198749664286.

6824669478912 is a `hidden beast` number, since 6 + 8 + 2 + 4 + 6 + 69 + 478 + 91 + 2 = 666.

It is a super-2 number, since 2×6824669478912² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (501645312) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 220150628337 + ... + 220150628367.

Almost surely, 2^{6824669478912} is an apocalyptic number.

6824669478912 is a gapful number since it is divisible by the number (62) 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 6824669478912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10566693132528).

6824669478912 is an abundant number, since it is smaller than the sum of its proper divisors (14308716786144).

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

6824669478912 is an frugal number, since it uses more digits than its factorization.

6824669478912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 36 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 6824669478912 in words is "six trillion, eight hundred twenty-four billion, six hundred sixty-nine million, four hundred seventy-eight thousand, nine hundred twelve".