7288042469760 has 1536 divisors, whose sum is σ = 28782837457920. Its totient is φ = 1751339335680.

The previous prime is 7288042469737. The next prime is 7288042469779. The reversal of 7288042469760 is 679642408827.

7288042469760 is a `hidden beast` number, since 7 + 2 + 8 + 80 + 424 + 69 + 76 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23434220005 + ... + 23434220315.

It is an arithmetic number, because the mean of its divisors is an integer number (18738826470).

Almost surely, 2^{7288042469760} 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 7288042469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391418728960).

7288042469760 is an abundant number, since it is smaller than the sum of its proper divisors (21494794988160).

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

7288042469760 is a wasteful number, since it uses less digits than its factorization.

7288042469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 7288042469760 in words is "seven trillion, two hundred eighty-eight billion, forty-two million, four hundred sixty-nine thousand, seven hundred sixty".