10643945760 has 144 divisors (see below), whose sum is σ = 41511427776. Its totient is φ = 2432899584.

The previous prime is 10643945729. The next prime is 10643945779. The reversal of 10643945760 is 6754934601.

10643945760 is a `hidden beast` number, since 10 + 64 + 3 + 9 + 4 + 576 + 0 = 666.

10643945760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10643945760² (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517894 + ... + 538053.

It is an arithmetic number, because the mean of its divisors is an integer number (288273804).

Almost surely, 2^10643945760 is an apocalyptic number.

10643945760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10643945760 is an abundant number, since it is smaller than the sum of its proper divisors (30867482016).

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

10643945760 is a wasteful number, since it uses less digits than its factorization.

10643945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055975 (or 1055964 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10643945760 in words is "ten billion, six hundred forty-three million, nine hundred forty-five thousand, seven hundred sixty".