10068681672 has 96 divisors (see below), whose sum is σ = 32319268800. Its totient is φ = 2876762304.

The previous prime is 10068681671. The next prime is 10068681713. The reversal of 10068681672 is 27618686001.

It is a happy number.

It is a super-2 number, since 2×10068681672² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10068681671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356347 + ... + 383562.

It is an arithmetic number, because the mean of its divisors is an integer number (336659050).

Almost surely, 2^10068681672 is an apocalyptic number.

10068681672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10068681672 is an abundant number, since it is smaller than the sum of its proper divisors (22250587128).

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

10068681672 is an equidigital number, since it uses as much as digits as its factorization.

10068681672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739937 (or 739921 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10068681672 in words is "ten billion, sixty-eight million, six hundred eighty-one thousand, six hundred seventy-two".