64808148256768 has 768 divisors, whose sum is σ = 167471478720000. Its totient is φ = 24431736913920.

The previous prime is 64808148256741. The next prime is 64808148256769. The reversal of 64808148256768 is 86765284180846.

It is a self number, because there is not a number n which added to its sum of digits gives 64808148256768.

It is not an unprimeable number, because it can be changed into a prime (64808148256769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40278525148 + ... + 40278526756.

It is an arithmetic number, because the mean of its divisors is an integer number (218061821250).

Almost surely, 2^{64808148256768} is an apocalyptic number.

64808148256768 is a gapful number since it is divisible by the number (68) 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 64808148256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83735739360000).

64808148256768 is an abundant number, since it is smaller than the sum of its proper divisors (102663330463232).

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

64808148256768 is a wasteful number, since it uses less digits than its factorization.

64808148256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 73.

The spelling of 64808148256768 in words is "sixty-four trillion, eight hundred eight billion, one hundred forty-eight million, two hundred fifty-six thousand, seven hundred sixty-eight".