10712664004 has 27 divisors (see below), whose sum is σ = 21810873357. Its totient is φ = 4590520704.

The previous prime is 10712663981. The next prime is 10712664007. The reversal of 10712664004 is 40046621701.

The square root of 10712664004 is 103502.

It is a perfect power (a square), and thus also a powerful number.

10712664004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1734722500 + 8977941504 = 41650^2 + 94752^2 .

It is a super-2 number, since 2×10712664004² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10712664007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1445332 + ... + 1452724.

Almost surely, 2^10712664004 is an apocalyptic number.

10712664004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10712664004 is the 103502-nd square number.

It is an amenable number.

10712664004 is an abundant number, since it is smaller than the sum of its proper divisors (11098209353).

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

10712664004 is an frugal number, since it uses more digits than its factorization.

10712664004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14804 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 10712664004 in words is "ten billion, seven hundred twelve million, six hundred sixty-four thousand, four".