10762720224 has 48 divisors (see below), whose sum is σ = 28592548992. Its totient is φ = 3544347008.

The previous prime is 10762720223. The next prime is 10762720231. The reversal of 10762720224 is 42202726701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10762720224² (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 (10762720223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667404 + ... + 683339.

It is an arithmetic number, because the mean of its divisors is an integer number (595678104).

Almost surely, 2^10762720224 is an apocalyptic number.

It is an amenable number.

10762720224 is an abundant number, since it is smaller than the sum of its proper divisors (17829828768).

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

10762720224 is a wasteful number, since it uses less digits than its factorization.

10762720224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350839 (or 1350831 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 10762720224 in words is "ten billion, seven hundred sixty-two million, seven hundred twenty thousand, two hundred twenty-four".