2745128363670 has 768 divisors, whose sum is σ = 9293949849600. Its totient is φ = 561784608000.

The previous prime is 2745128363617. The next prime is 2745128363693. The reversal of 2745128363670 is 763638215472.

It is a happy number.

2745128363670 is a `hidden beast` number, since 2 + 7 + 4 + 512 + 8 + 3 + 63 + 67 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2917245400 + ... + 2917246340.

It is an arithmetic number, because the mean of its divisors is an integer number (12101497200).

Almost surely, 2^{2745128363670} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2745128363670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646974924800).

2745128363670 is an abundant number, since it is smaller than the sum of its proper divisors (6548821485930).

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

2745128363670 is a wasteful number, since it uses less digits than its factorization.

2745128363670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 2745128363670 in words is "two trillion, seven hundred forty-five billion, one hundred twenty-eight million, three hundred sixty-three thousand, six hundred seventy".