6824069861616 has 160 divisors (see below), whose sum is σ = 23564039820800. Its totient is φ = 1847116638720.

The previous prime is 6824069861611. The next prime is 6824069861641. The reversal of 6824069861616 is 6161689604286.

6824069861616 is a `hidden beast` number, since 6 + 8 + 2 + 4 + 0 + 6 + 9 + 8 + 6 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6824069861611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59327725 + ... + 59442636.

It is an arithmetic number, because the mean of its divisors is an integer number (147275248880).

Almost surely, 2^{6824069861616} is an apocalyptic number.

It is an amenable number.

6824069861616 is an abundant number, since it is smaller than the sum of its proper divisors (16739969959184).

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

6824069861616 is a wasteful number, since it uses less digits than its factorization.

6824069861616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118770404 (or 118770392 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 6824069861616 in words is "six trillion, eight hundred twenty-four billion, sixty-nine million, eight hundred sixty-one thousand, six hundred sixteen".