7938284827968 has 448 divisors, whose sum is σ = 26672256983040. Its totient is φ = 2293185945600.

The previous prime is 7938284827943. The next prime is 7938284828029. The reversal of 7938284827968 is 8697284828397.

7938284827968 is a `hidden beast` number, since 7 + 9 + 3 + 8 + 2 + 8 + 482 + 79 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39379080 + ... + 39580152.

Almost surely, 2^{7938284827968} 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 7938284827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13336128491520).

7938284827968 is an abundant number, since it is smaller than the sum of its proper divisors (18733972155072).

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

7938284827968 is a wasteful number, since it uses less digits than its factorization.

7938284827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201203 (or 201187 counting only the distinct ones).

The product of its digits is 4682022912, while the sum is 81.

The spelling of 7938284827968 in words is "seven trillion, nine hundred thirty-eight billion, two hundred eighty-four million, eight hundred twenty-seven thousand, nine hundred sixty-eight".