2745727620480 has 1536 divisors, whose sum is σ = 11363520430080. Its totient is φ = 604038758400.

The previous prime is 2745727620443. The next prime is 2745727620547. The reversal of 2745727620480 is 840267275472.

2745727620480 is a `hidden beast` number, since 2 + 7 + 4 + 5 + 7 + 2 + 7 + 620 + 4 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5592113035 + ... + 5592113525.

It is an arithmetic number, because the mean of its divisors is an integer number (7398125280).

Almost surely, 2^{2745727620480} is an apocalyptic number.

2745727620480 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 2745727620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681760215040).

2745727620480 is an abundant number, since it is smaller than the sum of its proper divisors (8617792809600).

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

2745727620480 is a wasteful number, since it uses less digits than its factorization.

2745727620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 2745727620480 in words is "two trillion, seven hundred forty-five billion, seven hundred twenty-seven million, six hundred twenty thousand, four hundred eighty".