7688622605541 has 24 divisors (see below), whose sum is σ = 11027846517120. Its totient is φ = 4763167498752.

The previous prime is 7688622605467. The next prime is 7688622605551. The reversal of 7688622605541 is 1455062268867.

It is not a de Polignac number, because 7688622605541 - 2²¹ = 7688620508389 is a prime.

It is a super-4 number, since 4×7688622605541⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7688622605551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56058576 + ... + 56195561.

It is an arithmetic number, because the mean of its divisors is an integer number (459493604880).

Almost surely, 2^{7688622605541} is an apocalyptic number.

It is an amenable number.

7688622605541 is a deficient number, since it is larger than the sum of its proper divisors (3339223911579).

7688622605541 is a wasteful number, since it uses less digits than its factorization.

7688622605541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112254253 (or 112254236 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 7688622605541 in words is "seven trillion, six hundred eighty-eight billion, six hundred twenty-two million, six hundred five thousand, five hundred forty-one".