10645344000 has 648 divisors, whose sum is σ = 40826389968. Its totient is φ = 2762035200.

The previous prime is 10645343987. The next prime is 10645344013. The reversal of 10645344000 is 44354601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10645344000 is a `hidden beast` number, since 10 + 645 + 3 + 4 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10645343987) and next prime (10645344013).

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×10645344000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 287711982 + ... + 287712018.

Almost surely, 2^10645344000 is an apocalyptic number.

10645344000 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 10645344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20413194984).

10645344000 is an abundant number, since it is smaller than the sum of its proper divisors (30181045968).

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

10645344000 is an frugal number, since it uses more digits than its factorization.

10645344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10645344000 its reverse (44354601), we get a palindrome (10689698601).

The spelling of 10645344000 in words is "ten billion, six hundred forty-five million, three hundred forty-four thousand".