10006767703700 has 72 divisors (see below), whose sum is σ = 22464250347000. Its totient is φ = 3864548136960.

The previous prime is 10006767703649. The next prime is 10006767703711. The reversal of 10006767703700 is 730776760001.

It can be written as a sum of positive squares in 12 ways, for example, as 1392296161936 + 8614471541764 = 1179956^2 + 2935042^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137704976 + ... + 137777624.

Almost surely, 2^{10006767703700} is an apocalyptic number.

10006767703700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006767703700 is an abundant number, since it is smaller than the sum of its proper divisors (12457482643300).

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

10006767703700 is a wasteful number, since it uses less digits than its factorization.

10006767703700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120189 (or 120182 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 44.

The spelling of 10006767703700 in words is "ten trillion, six billion, seven hundred sixty-seven million, seven hundred three thousand, seven hundred".