7838084916964 has 27 divisors (see below), whose sum is σ = 13789988845563. Its totient is φ = 3898199004672.

The previous prime is 7838084916947. The next prime is 7838084916971. The reversal of 7838084916964 is 4696194808387.

The square root of 7838084916964 is 2799658.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8161676964 + 7829923240000 = 90342^2 + 2798200^2 .

It is a super-2 number, since 2×7838084916964² (a number of 27 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1080664362 + ... + 1080671614.

Almost surely, 2^{7838084916964} is an apocalyptic number.

7838084916964 is the 2799658-th square number.

It is an amenable number.

7838084916964 is a deficient number, since it is larger than the sum of its proper divisors (5951903928599).

7838084916964 is an frugal number, since it uses more digits than its factorization.

7838084916964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14896 (or 7448 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 73.

The spelling of 7838084916964 in words is "seven trillion, eight hundred thirty-eight billion, eighty-four million, nine hundred sixteen thousand, nine hundred sixty-four".