10814672640 has 144 divisors (see below), whose sum is σ = 34616268288. Its totient is φ = 2877493248.

The previous prime is 10814672639. The next prime is 10814672647. The reversal of 10814672640 is 4627641801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10814672647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1867189 + ... + 1872971.

It is an arithmetic number, because the mean of its divisors is an integer number (240390752).

Almost surely, 2^10814672640 is an apocalyptic number.

10814672640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10814672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308134144).

10814672640 is an abundant number, since it is smaller than the sum of its proper divisors (23801595648).

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

10814672640 is an equidigital number, since it uses as much as digits as its factorization.

10814672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 10814672640 in words is "ten billion, eight hundred fourteen million, six hundred seventy-two thousand, six hundred forty".