7361281832256 has 504 divisors, whose sum is σ = 24576291492480. Its totient is φ = 2097789788160.

The previous prime is 7361281832141. The next prime is 7361281832257. The reversal of 7361281832256 is 6522381821637.

7361281832256 is a `hidden beast` number, since 7 + 3 + 61 + 281 + 83 + 225 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7361281832257) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2899282635 + ... + 2899285173.

It is an arithmetic number, because the mean of its divisors is an integer number (48762483120).

Almost surely, 2^{7361281832256} 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 7361281832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288145746240).

7361281832256 is an abundant number, since it is smaller than the sum of its proper divisors (17215009660224).

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

7361281832256 is a wasteful number, since it uses less digits than its factorization.

7361281832256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5019 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 7361281832256 in words is "seven trillion, three hundred sixty-one billion, two hundred eighty-one million, eight hundred thirty-two thousand, two hundred fifty-six".