6968788992000 has 2880 divisors, whose sum is σ = 30365666472960. Its totient is φ = 1576599552000.

The previous prime is 6968788991977. The next prime is 6968788992049. The reversal of 6968788992000 is 2998878696.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6968788992000.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 104011775967 + ... + 104011776033.

It is an arithmetic number, because the mean of its divisors is an integer number (10543634192).

Almost surely, 2^{6968788992000} is an apocalyptic number.

6968788992000 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 6968788992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182833236480).

6968788992000 is an abundant number, since it is smaller than the sum of its proper divisors (23396877480960).

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

6968788992000 is an equidigital number, since it uses as much as digits as its factorization.

6968788992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 6968788992000 in words is "six trillion, nine hundred sixty-eight billion, seven hundred eighty-eight million, nine hundred ninety-two thousand".