7242393600000 has 2160 divisors, whose sum is σ = 29979886164480. Its totient is φ = 1725235200000.

The previous prime is 7242393599999. The next prime is 7242393600023. The reversal of 7242393600000 is 63932427.

It is a happy number.

7242393600000 is a `hidden beast` number, since 7 + 2 + 42 + 3 + 9 + 3 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 233625599985 + ... + 233625600015.

It is an arithmetic number, because the mean of its divisors is an integer number (13879576928).

Almost surely, 2^{7242393600000} 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 7242393600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989943082240).

7242393600000 is an abundant number, since it is smaller than the sum of its proper divisors (22737492564480).

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

7242393600000 is an frugal number, since it uses more digits than its factorization.

7242393600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 7242393600000 in words is "seven trillion, two hundred forty-two billion, three hundred ninety-three million, six hundred thousand".