12849632640 has 640 divisors, whose sum is σ = 51629054400. Its totient is φ = 3021815808.

The previous prime is 12849632629. The next prime is 12849632659. The reversal of 12849632640 is 4623694821.

12849632640 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 9 + 632 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×12849632640² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15499746 + ... + 15500574.

Almost surely, 2^12849632640 is an apocalyptic number.

12849632640 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 12849632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25814527200).

12849632640 is an abundant number, since it is smaller than the sum of its proper divisors (38779421760).

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

12849632640 is a wasteful number, since it uses less digits than its factorization.

12849632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12849632640 in words is "twelve billion, eight hundred forty-nine million, six hundred thirty-two thousand, six hundred forty".