7638757632007 has 2 divisors, whose sum is σ = 7638757632008. Its totient is φ = 7638757632006.

The previous prime is 7638757631993. The next prime is 7638757632019. The reversal of 7638757632007 is 7002367578367.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 7638757632007 - 2³¹ = 7636610148359 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7638757632707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3819378816003 + 3819378816004.

It is an arithmetic number, because the mean of its divisors is an integer number (3819378816004).

Almost surely, 2^{7638757632007} is an apocalyptic number.

7638757632007 is a deficient number, since it is larger than the sum of its proper divisors (1).

7638757632007 is an equidigital number, since it uses as much as digits as its factorization.

7638757632007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62233920, while the sum is 61.

The spelling of 7638757632007 in words is "seven trillion, six hundred thirty-eight billion, seven hundred fifty-seven million, six hundred thirty-two thousand, seven".