2736971596769 has 2 divisors, whose sum is σ = 2736971596770. Its totient is φ = 2736971596768.

The previous prime is 2736971596747. The next prime is 2736971596823. The reversal of 2736971596769 is 9676951796372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2610244140625 + 126727456144 = 1615625^2 + 355988^2 .

It is a cyclic number.

It is not a de Polignac number, because 2736971596769 - 2¹² = 2736971592673 is a prime.

It is a super-2 number, since 2×2736971596769² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2736971596769.

It is not a weakly prime, because it can be changed into another prime (2736973596769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1368485798384 + 1368485798385.

It is an arithmetic number, because the mean of its divisors is an integer number (1368485798385).

Almost surely, 2^{2736971596769} is an apocalyptic number.

It is an amenable number.

2736971596769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2736971596769 is an equidigital number, since it uses as much as digits as its factorization.

2736971596769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1620304560, while the sum is 77.

The spelling of 2736971596769 in words is "two trillion, seven hundred thirty-six billion, nine hundred seventy-one million, five hundred ninety-six thousand, seven hundred sixty-nine".