10667461677020 has 24 divisors (see below), whose sum is σ = 22515383588544. Its totient is φ = 4245324848576.

The previous prime is 10667461677017. The next prime is 10667461677049. The reversal of 10667461677020 is 2077616476601.

It is a happy number.

It is a super-2 number, since 2×10667461677020² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1353734852 + ... + 1353742731.

It is an arithmetic number, because the mean of its divisors is an integer number (938140982856).

Almost surely, 2^{10667461677020} is an apocalyptic number.

10667461677020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10667461677020 is an abundant number, since it is smaller than the sum of its proper divisors (11847921911524).

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

10667461677020 is a wasteful number, since it uses less digits than its factorization.

10667461677020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707477789 (or 2707477787 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 53.

The spelling of 10667461677020 in words is "ten trillion, six hundred sixty-seven billion, four hundred sixty-one million, six hundred seventy-seven thousand, twenty".