6948766963200 has 240 divisors, whose sum is σ = 23443223823360. Its totient is φ = 1813578424320.

The previous prime is 6948766963141. The next prime is 6948766963207. The reversal of 6948766963200 is 23696678496.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6948766963207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120280 + ... + 3729879.

It is an arithmetic number, because the mean of its divisors is an integer number (97680099264).

Almost surely, 2^{6948766963200} is an apocalyptic number.

6948766963200 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 6948766963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721611911680).

6948766963200 is an abundant number, since it is smaller than the sum of its proper divisors (16494456860160).

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

6948766963200 is a wasteful number, since it uses less digits than its factorization.

6948766963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850237 (or 3850216 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 6948766963200 in words is "six trillion, nine hundred forty-eight billion, seven hundred sixty-six million, nine hundred sixty-three thousand, two hundred".