7243637664000 has 1152 divisors, whose sum is σ = 25698499706880. Its totient is φ = 1804627968000.

The previous prime is 7243637663993. The next prime is 7243637664019. The reversal of 7243637664000 is 4667363427.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 22850591842 + ... + 22850592158.

It is an arithmetic number, because the mean of its divisors is an integer number (22307725440).

Almost surely, 2^{7243637664000} 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 7243637664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849249853440).

7243637664000 is an abundant number, since it is smaller than the sum of its proper divisors (18454862042880).

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

7243637664000 is a wasteful number, since it uses less digits than its factorization.

7243637664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

The spelling of 7243637664000 in words is "seven trillion, two hundred forty-three billion, six hundred thirty-seven million, six hundred sixty-four thousand".