6941053360800 has 2304 divisors, whose sum is σ = 28789997322240. Its totient is φ = 1622509056000.

The previous prime is 6941053360763. The next prime is 6941053360807. The reversal of 6941053360800 is 80633501496.

6941053360800 is a `hidden beast` number, since 6 + 9 + 4 + 1 + 0 + 5 + 33 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6941053360807) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45967240725 + ... + 45967240875.

It is an arithmetic number, because the mean of its divisors is an integer number (12495658560).

Almost surely, 2^{6941053360800} is an apocalyptic number.

6941053360800 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 6941053360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394998661120).

6941053360800 is an abundant number, since it is smaller than the sum of its proper divisors (21848943961440).

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

6941053360800 is a wasteful number, since it uses less digits than its factorization.

6941053360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 6941053360800 in words is "six trillion, nine hundred forty-one billion, fifty-three million, three hundred sixty thousand, eight hundred".