6537703946961 has 16 divisors (see below), whose sum is σ = 10009881642240. Its totient is φ = 3753705615120.

The previous prime is 6537703946941. The next prime is 6537703946993. The reversal of 6537703946961 is 1696493077356.

It is not a de Polignac number, because 6537703946961 - 2⁶ = 6537703946897 is a prime.

It is a super-2 number, since 2×6537703946961² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6537703946892 and 6537703946901.

It is not an unprimeable number, because it can be changed into a prime (6537703946941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5213479395 + ... + 5213480648.

It is an arithmetic number, because the mean of its divisors is an integer number (625617602640).

Almost surely, 2^{6537703946961} is an apocalyptic number.

It is an amenable number.

6537703946961 is a deficient number, since it is larger than the sum of its proper divisors (3472177695279).

6537703946961 is a wasteful number, since it uses less digits than its factorization.

6537703946961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10426960076.

The product of its (nonzero) digits is 154314720, while the sum is 66.

The spelling of 6537703946961 in words is "six trillion, five hundred thirty-seven billion, seven hundred three million, nine hundred forty-six thousand, nine hundred sixty-one".