6824114805330 has 320 divisors, whose sum is σ = 19742226121728. Its totient is φ = 1687159393920.

The previous prime is 6824114805283. The next prime is 6824114805383. The reversal of 6824114805330 is 335084114286.

6824114805330 is a `hidden beast` number, since 6 + 8 + 24 + 1 + 14 + 80 + 533 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 104910277 + ... + 104975303.

Almost surely, 2^{6824114805330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6824114805330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9871113060864).

6824114805330 is an abundant number, since it is smaller than the sum of its proper divisors (12918111316398).

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

6824114805330 is a wasteful number, since it uses less digits than its factorization.

6824114805330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65243 (or 65234 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6824114805330 in words is "six trillion, eight hundred twenty-four billion, one hundred fourteen million, eight hundred five thousand, three hundred thirty".