10644714000 has 240 divisors, whose sum is σ = 37692383664. Its totient is φ = 2799360000.

The previous prime is 10644713971. The next prime is 10644714077. The reversal of 10644714000 is 41744601.

10644714000 is a `hidden beast` number, since 1 + 0 + 644 + 7 + 14 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 379782144 + 10264931856 = 19488^2 + 101316^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10644714000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309950 + ... + 1318050.

Almost surely, 2^10644714000 is an apocalyptic number.

10644714000 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 10644714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18846191832).

10644714000 is an abundant number, since it is smaller than the sum of its proper divisors (27047669664).

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

10644714000 is a wasteful number, since it uses less digits than its factorization.

10644714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8203 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10644714000 in words is "ten billion, six hundred forty-four million, seven hundred fourteen thousand".