2745876127680 has 2240 divisors, whose sum is σ = 12094542028800. Its totient is φ = 592568524800.

The previous prime is 2745876127661. The next prime is 2745876127717. The reversal of 2745876127680 is 867216785472.

It is a happy number.

2745876127680 is a `hidden beast` number, since 2 + 7 + 4 + 5 + 8 + 7 + 612 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 66972588460 + ... + 66972588500.

It is an arithmetic number, because the mean of its divisors is an integer number (5399349120).

Almost surely, 2^{2745876127680} is an apocalyptic number.

2745876127680 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 2745876127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047271014400).

2745876127680 is an abundant number, since it is smaller than the sum of its proper divisors (9348665901120).

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

2745876127680 is an frugal number, since it uses more digits than its factorization.

2745876127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 2745876127680 in words is "two trillion, seven hundred forty-five billion, eight hundred seventy-six million, one hundred twenty-seven thousand, six hundred eighty".