12845582640 has 720 divisors, whose sum is σ = 50714087424. Its totient is φ = 3017710080.

The previous prime is 12845582587. The next prime is 12845582671. The reversal of 12845582640 is 4628554821.

12845582640 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 5 + 582 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12845582640² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101146257 + ... + 101146383.

Almost surely, 2^12845582640 is an apocalyptic number.

12845582640 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 12845582640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25357043712).

12845582640 is an abundant number, since it is smaller than the sum of its proper divisors (37868504784).

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

12845582640 is a wasteful number, since it uses less digits than its factorization.

12845582640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 12845582640 in words is "twelve billion, eight hundred forty-five million, five hundred eighty-two thousand, six hundred forty".