10643552640 has 576 divisors, whose sum is σ = 43798257360. Its totient is φ = 2373525504.

The previous prime is 10643552629. The next prime is 10643552641. The reversal of 10643552640 is 4625534601.

10643552640 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 5 + 5 + 2 + 640 = 666.

10643552640 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 (576).

It is a super-2 number, since 2×10643552640² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10643552595 and 10643552604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10643552641) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12135882 + ... + 12136758.

Almost surely, 2^10643552640 is an apocalyptic number.

10643552640 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 10643552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21899128680).

10643552640 is an abundant number, since it is smaller than the sum of its proper divisors (33154704720).

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

10643552640 is a wasteful number, since it uses less digits than its factorization.

10643552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10643552640 in words is "ten billion, six hundred forty-three million, five hundred fifty-two thousand, six hundred forty".