6992642844000 has 3456 divisors, whose sum is σ = 31208137519104. Its totient is φ = 1522851840000.

The previous prime is 6992642843981. The next prime is 6992642844007. The reversal of 6992642844000 is 4482462996.

6992642844000 is a `hidden beast` number, since 69 + 9 + 264 + 284 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6992642844007) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 95789627964 + ... + 95789628036.

It is an arithmetic number, because the mean of its divisors is an integer number (9030132384).

Almost surely, 2^{6992642844000} is an apocalyptic number.

6992642844000 is a gapful number since it is divisible by the number (60) 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 6992642844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604068759552).

6992642844000 is an abundant number, since it is smaller than the sum of its proper divisors (24215494675104).

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

6992642844000 is a wasteful number, since it uses less digits than its factorization.

6992642844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 6992642844000 in words is "six trillion, nine hundred ninety-two billion, six hundred forty-two million, eight hundred forty-four thousand".