7543921920000 has 960 divisors, whose sum is σ = 26199613440000. Its totient is φ = 1927618560000.

The previous prime is 7543921919971. The next prime is 7543921920001. The reversal of 7543921920000 is 291293457.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (7543921920001) 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 79 ways as a sum of consecutive naturals, for example, 15118079751 + ... + 15118080249.

It is an arithmetic number, because the mean of its divisors is an integer number (27291264000).

Almost surely, 2^{7543921920000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7543921920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13099806720000).

7543921920000 is an abundant number, since it is smaller than the sum of its proper divisors (18655691520000).

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

7543921920000 is a wasteful number, since it uses less digits than its factorization.

7543921920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 7543921920000 in words is "seven trillion, five hundred forty-three billion, nine hundred twenty-one million, nine hundred twenty thousand".