7838079317649 has 63 divisors (see below), whose sum is σ = 13671317920683. Its totient is φ = 4478600104272.

The previous prime is 7838079317617. The next prime is 7838079317681. The reversal of 7838079317649 is 9467139708387.

The square root of 7838079317649 is 2799657.

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

7838079317649 is a `hidden beast` number, since 7 + 8 + 380 + 79 + 3 + 176 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (7838079317617) and next prime (7838079317681).

It can be written as a sum of positive squares in only one way, i.e., 2334982644225 + 5503096673424 = 1528065^2 + 2345868^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 7838079317649 - 2⁵ = 7838079317617 is a prime.

It is a super-2 number, since 2×7838079317649² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7838079317699) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 529127767 + ... + 529142579.

Almost surely, 2^{7838079317649} is an apocalyptic number.

7838079317649 is the 2799657-th square number.

7838079317649 is the 1399829-th centered octagonal number.

It is an amenable number.

7838079317649 is a deficient number, since it is larger than the sum of its proper divisors (5833238603034).

7838079317649 is an frugal number, since it uses more digits than its factorization.

7838079317649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29658 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 7838079317649 in words is "seven trillion, eight hundred thirty-eight billion, seventy-nine million, three hundred seventeen thousand, six hundred forty-nine".