5675670765765 has 216 divisors, whose sum is σ = 13382041720320. Its totient is φ = 2177277822720.

The previous prime is 5675670765731. The next prime is 5675670765803.

It is a happy number.

5675670765765 is a `hidden beast` number, since 5 + 6 + 7 + 567 + 0 + 7 + 6 + 57 + 6 + 5 = 666.

5675670765765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5675670765765 - 2¹⁷ = 5675670634693 is a prime.

It is a super-2 number, since 2×5675670765765² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5675670765693 and 5675670765702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6000876 + ... + 6881994.

Almost surely, 2^{5675670765765} is an apocalyptic number.

5675670765765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5675670765765 is an abundant number, since it is smaller than the sum of its proper divisors (7706370954555).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5675670765765 is a wasteful number, since it uses less digits than its factorization.

5675670765765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881185 (or 881158 counting only the distinct ones).

The product of its (nonzero) digits is 1944810000, while the sum is 72.

The spelling of 5675670765765 in words is "five trillion, six hundred seventy-five billion, six hundred seventy million, seven hundred sixty-five thousand, seven hundred sixty-five".