7381890756828 has 960 divisors, whose sum is σ = 24764382720000. Its totient is φ = 1910076360192.

The previous prime is 7381890756827. The next prime is 7381890756841. The reversal of 7381890756828 is 8286570981837.

7381890756828 is a `hidden beast` number, since 7 + 38 + 1 + 8 + 9 + 0 + 7 + 568 + 28 = 666.

It is a super-2 number, since 2×7381890756828² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7381890756827) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3928626393 + ... + 3928628271.

It is an arithmetic number, because the mean of its divisors is an integer number (25796232000).

Almost surely, 2^{7381890756828} 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 7381890756828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12382191360000).

7381890756828 is an abundant number, since it is smaller than the sum of its proper divisors (17382491963172).

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

7381890756828 is a wasteful number, since it uses less digits than its factorization.

7381890756828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 7381890756828 in words is "seven trillion, three hundred eighty-one billion, eight hundred ninety million, seven hundred fifty-six thousand, eight hundred twenty-eight".