10724387760 has 120 divisors (see below), whose sum is σ = 36035956944. Its totient is φ = 2858257920.

The previous prime is 10724387749. The next prime is 10724387777. The reversal of 10724387760 is 6778342701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1936195 + ... + 1941725.

Almost surely, 2^10724387760 is an apocalyptic number.

10724387760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10724387760 is an abundant number, since it is smaller than the sum of its proper divisors (25311569184).

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

10724387760 is a wasteful number, since it uses less digits than its factorization.

10724387760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8234 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10724387760 in words is "ten billion, seven hundred twenty-four million, three hundred eighty-seven thousand, seven hundred sixty".