10072671696 has 60 divisors (see below), whose sum is σ = 28392349440. Its totient is φ = 3333395520.

The previous prime is 10072671689. The next prime is 10072671709. The reversal of 10072671696 is 69617627001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231600 + ... + 271631.

It is an arithmetic number, because the mean of its divisors is an integer number (473205824).

Almost surely, 2^10072671696 is an apocalyptic number.

10072671696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10072671696 is an abundant number, since it is smaller than the sum of its proper divisors (18319677744).

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

10072671696 is a wasteful number, since it uses less digits than its factorization.

10072671696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503384 (or 503375 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 10072671696 in words is "ten billion, seventy-two million, six hundred seventy-one thousand, six hundred ninety-six".