7825464032767 has 2 divisors, whose sum is σ = 7825464032768. Its totient is φ = 7825464032766.

The previous prime is 7825464032647. The next prime is 7825464032843. The reversal of 7825464032767 is 7672304645287.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 7825464032767 - 2³⁵ = 7791104294399 is a prime.

It is a super-2 number, since 2×7825464032767² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7825464032567) 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 as a sum of consecutive naturals, namely, 3912732016383 + 3912732016384.

It is an arithmetic number, because the mean of its divisors is an integer number (3912732016384).

Almost surely, 2^{7825464032767} is an apocalyptic number.

7825464032767 is a deficient number, since it is larger than the sum of its proper divisors (1).

7825464032767 is an equidigital number, since it uses as much as digits as its factorization.

7825464032767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94832640, while the sum is 61.

The spelling of 7825464032767 in words is "seven trillion, eight hundred twenty-five billion, four hundred sixty-four million, thirty-two thousand, seven hundred sixty-seven".