7438394384964 has 135 divisors (see below), whose sum is σ = 19551629042253. Its totient is φ = 2465997180192.

The previous prime is 7438394384921. The next prime is 7438394384969. The reversal of 7438394384964 is 4694834938347.

The square root of 7438394384964 is 2727342.

It is a perfect power (a square), and thus also a powerful number.

7438394384964 is a `hidden beast` number, since 7 + 43 + 8 + 3 + 94 + 3 + 8 + 496 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1282080644100 + 6156313740864 = 1132290^2 + 2481192^2 .

It is a super-2 number, since 2×7438394384964² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7438394384892 and 7438394384901.

It is not an unprimeable number, because it can be changed into a prime (7438394384969) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13598526939 + ... + 13598527485.

Almost surely, 2^{7438394384964} is an apocalyptic number.

7438394384964 is the 2727342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7438394384964

7438394384964 is an abundant number, since it is smaller than the sum of its proper divisors (12113234657289).

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

7438394384964 is an frugal number, since it uses more digits than its factorization.

7438394384964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 829 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 72.

The spelling of 7438394384964 in words is "seven trillion, four hundred thirty-eight billion, three hundred ninety-four million, three hundred eighty-four thousand, nine hundred sixty-four".