6996448374240 has 768 divisors, whose sum is σ = 27306435502080. Its totient is φ = 1486037975040.

The previous prime is 6996448374203. The next prime is 6996448374287. The reversal of 6996448374240 is 424738446996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62425132 + ... + 62537108.

It is an arithmetic number, because the mean of its divisors is an integer number (35555254560).

Almost surely, 2^{6996448374240} is an apocalyptic number.

6996448374240 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 6996448374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653217751040).

6996448374240 is an abundant number, since it is smaller than the sum of its proper divisors (20309987127840).

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

6996448374240 is a wasteful number, since it uses less digits than its factorization.

6996448374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112075 (or 112067 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 66.

The spelling of 6996448374240 in words is "six trillion, nine hundred ninety-six billion, four hundred forty-eight million, three hundred seventy-four thousand, two hundred forty".