10646436640 has 192 divisors, whose sum is σ = 29820026880. Its totient is φ = 3514936320.

The previous prime is 10646436637. The next prime is 10646436707. The reversal of 10646436640 is 4663464601.

10646436640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10646436640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10646436593 and 10646436602.

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 31 ways as a sum of consecutive naturals, for example, 8297439 + ... + 8298721.

It is an arithmetic number, because the mean of its divisors is an integer number (155312640).

Almost surely, 2^10646436640 is an apocalyptic number.

10646436640 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 10646436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910013440).

10646436640 is an abundant number, since it is smaller than the sum of its proper divisors (19173590240).

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

10646436640 is a wasteful number, since it uses less digits than its factorization.

10646436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 10646436640 in words is "ten billion, six hundred forty-six million, four hundred thirty-six thousand, six hundred forty".