2745643792320 has 672 divisors, whose sum is σ = 11156497619904. Its totient is φ = 610998681600.

The previous prime is 2745643792319. The next prime is 2745643792337. The reversal of 2745643792320 is 232973465472.

It is a happy number.

2745643792320 is a `hidden beast` number, since 2 + 7 + 4 + 564 + 3 + 79 + 2 + 3 + 2 + 0 = 666.

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, 74524624 + ... + 74561456.

It is an arithmetic number, because the mean of its divisors is an integer number (16601930982).

Almost surely, 2^{2745643792320} is an apocalyptic number.

2745643792320 is a gapful number since it is divisible by the number (20) 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 2745643792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578248809952).

2745643792320 is an abundant number, since it is smaller than the sum of its proper divisors (8410853827584).

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

2745643792320 is a wasteful number, since it uses less digits than its factorization.

2745643792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37061 (or 37048 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 2745643792320 in words is "two trillion, seven hundred forty-five billion, six hundred forty-three million, seven hundred ninety-two thousand, three hundred twenty".