6941721080448 has 1152 divisors, whose sum is σ = 26917833945600. Its totient is φ = 1692092989440.

The previous prime is 6941721080443. The next prime is 6941721080449. The reversal of 6941721080448 is 8440801271496.

6941721080448 is a `hidden beast` number, since 6 + 9 + 41 + 72 + 10 + 80 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×6941721080448² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6941721080394 and 6941721080403.

It is not an unprimeable number, because it can be changed into a prime (6941721080443) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4823988913 + ... + 4823990351.

It is an arithmetic number, because the mean of its divisors is an integer number (23366175300).

Almost surely, 2^{6941721080448} is an apocalyptic number.

6941721080448 is a gapful number since it is divisible by the number (68) 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 6941721080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13458916972800).

6941721080448 is an abundant number, since it is smaller than the sum of its proper divisors (19976112865152).

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

6941721080448 is a wasteful number, since it uses less digits than its factorization.

6941721080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 6941721080448 in words is "six trillion, nine hundred forty-one billion, seven hundred twenty-one million, eighty thousand, four hundred forty-eight".