6689446073856 has 960 divisors, whose sum is σ = 25146370529280. Its totient is φ = 1663604490240.

The previous prime is 6689446073777. The next prime is 6689446073867. The reversal of 6689446073856 is 6583706449866.

6689446073856 is a `hidden beast` number, since 6 + 6 + 8 + 9 + 4 + 4 + 607 + 3 + 8 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 684757740 + ... + 684767508.

It is an arithmetic number, because the mean of its divisors is an integer number (26194135968).

Almost surely, 2^{6689446073856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6689446073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573185264640).

6689446073856 is an abundant number, since it is smaller than the sum of its proper divisors (18456924455424).

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

6689446073856 is a wasteful number, since it uses less digits than its factorization.

6689446073856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9907 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 6689446073856 in words is "six trillion, six hundred eighty-nine billion, four hundred forty-six million, seventy-three thousand, eight hundred fifty-six".