6996004992 has 192 divisors, whose sum is σ = 21445132800. Its totient is φ = 2268601344.

The previous prime is 6996004973. The next prime is 6996004993. The reversal of 6996004992 is 2994006996.

6996004992 is a `hidden beast` number, since 6 + 99 + 60 + 0 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (6996004993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1147809 + ... + 1153887.

It is an arithmetic number, because the mean of its divisors is an integer number (111693400).

Almost surely, 2^6996004992 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 6996004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10722566400).

6996004992 is an abundant number, since it is smaller than the sum of its proper divisors (14449127808).

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

6996004992 is an equidigital number, since it uses as much as digits as its factorization.

6996004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 6996004992 is about 83642.1245067340. The cubic root of 6996004992 is about 1912.5672004069.

It can be divided in two parts, 6996004 and 992, that added together give a palindrome (6996996).

The spelling of 6996004992 in words is "six billion, nine hundred ninety-six million, four thousand, nine hundred ninety-two".