6973240541800 has 48 divisors (see below), whose sum is σ = 17459921516940. Its totient is φ = 2574734968320.

The previous prime is 6973240541783. The next prime is 6973240541903. The reversal of 6973240541800 is 81450423796.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 379941563236 + 6593298978564 = 616394^2 + 2567742^2 .

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 11 ways as a sum of consecutive naturals, for example, 1341005197 + ... + 1341010396.

It is a 1-persistent number, because it is pandigital, but 2⋅6973240541800 = 13946481083600 is not.

Almost surely, 2^{6973240541800} is an apocalyptic number.

It is an amenable number.

6973240541800 is an abundant number, since it is smaller than the sum of its proper divisors (10486680975140).

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

6973240541800 is a wasteful number, since it uses less digits than its factorization.

6973240541800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682015622 (or 2682015613 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 6973240541800 in words is "six trillion, nine hundred seventy-three billion, two hundred forty million, five hundred forty-one thousand, eight hundred".