12762315812064 has 576 divisors, whose sum is σ = 42426918761472. Its totient is φ = 3329212723200.

The previous prime is 12762315811963. The next prime is 12762315812083. The reversal of 12762315812064 is 46021851326721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5960912434 + ... + 5960914574.

It is an arithmetic number, because the mean of its divisors is an integer number (73657845072).

Almost surely, 2^{12762315812064} is an apocalyptic number.

12762315812064 is a gapful number since it is divisible by the number (14) 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 12762315812064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21213459380736).

12762315812064 is an abundant number, since it is smaller than the sum of its proper divisors (29664602949408).

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

12762315812064 is a wasteful number, since it uses less digits than its factorization.

12762315812064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 12762315812064 in words is "twelve trillion, seven hundred sixty-two billion, three hundred fifteen million, eight hundred twelve thousand, sixty-four".