7681449607677 has 48 divisors (see below), whose sum is σ = 11703388394880. Its totient is φ = 4845251321856.

The previous prime is 7681449607649. The next prime is 7681449607681. The reversal of 7681449607677 is 7767069441867.

7681449607677 is a `hidden beast` number, since 7 + 6 + 8 + 1 + 4 + 4 + 9 + 607 + 6 + 7 + 7 = 666.

It is not a de Polignac number, because 7681449607677 - 2⁶ = 7681449607613 is a prime.

It is a super-2 number, since 2×7681449607677² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681449607277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38190349 + ... + 38390957.

It is an arithmetic number, because the mean of its divisors is an integer number (243820591560).

Almost surely, 2^{7681449607677} is an apocalyptic number.

It is an amenable number.

7681449607677 is a deficient number, since it is larger than the sum of its proper divisors (4021938787203).

7681449607677 is a wasteful number, since it uses less digits than its factorization.

7681449607677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202642 (or 202639 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 7681449607677 in words is "seven trillion, six hundred eighty-one billion, four hundred forty-nine million, six hundred seven thousand, six hundred seventy-seven".