2768128857432 has 512 divisors, whose sum is σ = 8392959590400. Its totient is φ = 842803315200.

The previous prime is 2768128857379. The next prime is 2768128857449. The reversal of 2768128857432 is 2347588218672.

2768128857432 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 1 + 28 + 8 + 574 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2768128857432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6004617682 + ... + 6004618142.

It is an arithmetic number, because the mean of its divisors is an integer number (16392499200).

Almost surely, 2^{2768128857432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768128857432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196479795200).

2768128857432 is an abundant number, since it is smaller than the sum of its proper divisors (5624830732968).

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

2768128857432 is a wasteful number, since it uses less digits than its factorization.

2768128857432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 954 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 2768128857432 in words is "two trillion, seven hundred sixty-eight billion, one hundred twenty-eight million, eight hundred fifty-seven thousand, four hundred thirty-two".