5007066776757 has 12 divisors (see below), whose sum is σ = 7245096047904. Its totient is φ = 3332198552040.

The previous prime is 5007066776743. The next prime is 5007066776771. The reversal of 5007066776757 is 7576776607005.

5007066776757 is a `hidden beast` number, since 500 + 7 + 0 + 6 + 6 + 7 + 76 + 7 + 57 = 666.

It is an interprime number because it is at equal distance from previous prime (5007066776743) and next prime (5007066776771).

It is not a de Polignac number, because 5007066776757 - 2⁴ = 5007066776741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5007066776694 and 5007066776703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007066776797) 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 in 11 ways as a sum of consecutive naturals, for example, 487158393 + ... + 487168670.

It is an arithmetic number, because the mean of its divisors is an integer number (603758003992).

Almost surely, 2^{5007066776757} is an apocalyptic number.

It is an amenable number.

5007066776757 is a deficient number, since it is larger than the sum of its proper divisors (2238029271147).

5007066776757 is a wasteful number, since it uses less digits than its factorization.

5007066776757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974327640 (or 974327637 counting only the distinct ones).

The product of its (nonzero) digits is 90757800, while the sum is 63.

The spelling of 5007066776757 in words is "five trillion, seven billion, sixty-six million, seven hundred seventy-six thousand, seven hundred fifty-seven".