10671757668 has 96 divisors (see below), whose sum is σ = 32504545920. Its totient is φ = 2985102720.

The previous prime is 10671757639. The next prime is 10671757697. The reversal of 10671757668 is 86675717601.

10671757668 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 1 + 7 + 576 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (10671757639) and next prime (10671757697).

It is a super-2 number, since 2×10671757668² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330055 + ... + 360942.

It is an arithmetic number, because the mean of its divisors is an integer number (338589020).

Almost surely, 2^10671757668 is an apocalyptic number.

10671757668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10671757668 is an abundant number, since it is smaller than the sum of its proper divisors (21832788252).

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

10671757668 is a wasteful number, since it uses less digits than its factorization.

10671757668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691034 (or 691026 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 10671757668 in words is "ten billion, six hundred seventy-one million, seven hundred fifty-seven thousand, six hundred sixty-eight".