6955642848000 has 2304 divisors, whose sum is σ = 29954645360640. Its totient is φ = 1388814336000.

The previous prime is 6955642847983. The next prime is 6955642848013. The reversal of 6955642848000 is 8482465596.

It is a happy number.

It is a super-2 number, since 2×6955642848000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25110623862 + ... + 25110624138.

It is an arithmetic number, because the mean of its divisors is an integer number (13001148160).

Almost surely, 2^{6955642848000} is an apocalyptic number.

6955642848000 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 6955642848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977322680320).

6955642848000 is an abundant number, since it is smaller than the sum of its proper divisors (22999002512640).

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

6955642848000 is a wasteful number, since it uses less digits than its factorization.

6955642848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 6955642848000 in words is "six trillion, nine hundred fifty-five billion, six hundred forty-two million, eight hundred forty-eight thousand".