12683796615840 has 768 divisors, whose sum is σ = 49537474560000. Its totient is φ = 2720737603584.

The previous prime is 12683796615793. The next prime is 12683796615883. The reversal of 12683796615840 is 4851669738621.

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 127 ways as a sum of consecutive naturals, for example, 200664561 + ... + 200727759.

It is an arithmetic number, because the mean of its divisors is an integer number (64501920000).

It is a 1-persistent number, because it is pandigital, but 2⋅12683796615840 = 25367593231680 is not.

Almost surely, 2^{12683796615840} is an apocalyptic number.

12683796615840 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 12683796615840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24768737280000).

12683796615840 is an abundant number, since it is smaller than the sum of its proper divisors (36853677944160).

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

12683796615840 is a wasteful number, since it uses less digits than its factorization.

12683796615840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63314 (or 63292 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 12683796615840 in words is "twelve trillion, six hundred eighty-three billion, seven hundred ninety-six million, six hundred fifteen thousand, eight hundred forty".