10672610640 has 80 divisors (see below), whose sum is σ = 33111720000. Its totient is φ = 2843739136.

The previous prime is 10672610629. The next prime is 10672610647. The reversal of 10672610640 is 4601627601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10672610640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672610647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292111 + ... + 326609.

It is an arithmetic number, because the mean of its divisors is an integer number (413896500).

Almost surely, 2^10672610640 is an apocalyptic number.

10672610640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10672610640 is an abundant number, since it is smaller than the sum of its proper divisors (22439109360).

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

10672610640 is a wasteful number, since it uses less digits than its factorization.

10672610640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35804 (or 35798 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10672610640 in words is "ten billion, six hundred seventy-two million, six hundred ten thousand, six hundred forty".