128764901760 has 512 divisors, whose sum is σ = 471185164800. Its totient is φ = 29623910400.

The previous prime is 128764901737. The next prime is 128764901777. The reversal of 128764901760 is 67109467821.

128764901760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32037031 + ... + 32041049.

It is an arithmetic number, because the mean of its divisors is an integer number (920283525).

Almost surely, 2^128764901760 is an apocalyptic number.

128764901760 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 128764901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235592582400).

128764901760 is an abundant number, since it is smaller than the sum of its proper divisors (342420263040).

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

128764901760 is a wasteful number, since it uses less digits than its factorization.

128764901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 128764901760 in words is "one hundred twenty-eight billion, seven hundred sixty-four million, nine hundred one thousand, seven hundred sixty".