7293345536040 has 256 divisors, whose sum is σ = 23259638661120. Its totient is φ = 1826282142720.

The previous prime is 7293345536039. The next prime is 7293345536149. The reversal of 7293345536040 is 406355433927.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50441689 + ... + 50586071.

It is an arithmetic number, because the mean of its divisors is an integer number (90857963520).

Almost surely, 2^{7293345536040} 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 7293345536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11629819330560).

7293345536040 is an abundant number, since it is smaller than the sum of its proper divisors (15966293125080).

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

7293345536040 is a wasteful number, since it uses less digits than its factorization.

7293345536040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144832 (or 144828 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 51.

The spelling of 7293345536040 in words is "seven trillion, two hundred ninety-three billion, three hundred forty-five million, five hundred thirty-six thousand, forty".