10760649120 has 720 divisors, whose sum is σ = 43691681880. Its totient is φ = 2492964864.

The previous prime is 10760649113. The next prime is 10760649149. The reversal of 10760649120 is 2194606701.

10760649120 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 0 + 649 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3640464 + 10757008656 = 1908^2 + 103716^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 632979352 + ... + 632979368.

Almost surely, 2^10760649120 is an apocalyptic number.

10760649120 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 10760649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21845840940).

10760649120 is an abundant number, since it is smaller than the sum of its proper divisors (32931032760).

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

10760649120 is an equidigital number, since it uses as much as digits as its factorization.

10760649120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10760649120 in words is "ten billion, seven hundred sixty million, six hundred forty-nine thousand, one hundred twenty".