7738461965777 has 32 divisors (see below), whose sum is σ = 8284918588800. Its totient is φ = 7207276796928.

The previous prime is 7738461965761. The next prime is 7738461965821. The reversal of 7738461965777 is 7775691648377.

It is a cyclic number.

It is not a de Polignac number, because 7738461965777 - 2⁴ = 7738461965761 is a prime.

It is a super-2 number, since 2×7738461965777² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7738461965698 and 7738461965707.

It is not an unprimeable number, because it can be changed into a prime (7738461965177) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 121456793 + ... + 121520489.

It is an arithmetic number, because the mean of its divisors is an integer number (258903705900).

Almost surely, 2^{7738461965777} is an apocalyptic number.

It is an amenable number.

7738461965777 is a deficient number, since it is larger than the sum of its proper divisors (546456623023).

7738461965777 is a wasteful number, since it uses less digits than its factorization.

7738461965777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64305.

The product of its digits is 2613824640, while the sum is 77.

The spelling of 7738461965777 in words is "seven trillion, seven hundred thirty-eight billion, four hundred sixty-one million, nine hundred sixty-five thousand, seven hundred seventy-seven".