2747112368000 has 1536 divisors, whose sum is σ = 9556854128640. Its totient is φ = 763361280000.

The previous prime is 2747112367931. The next prime is 2747112368017. The reversal of 2747112368000 is 8632117472.

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, 5461455749 + ... + 5461456251.

It is an arithmetic number, because the mean of its divisors is an integer number (6221910240).

Almost surely, 2^{2747112368000} is an apocalyptic number.

2747112368000 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 2747112368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778427064320).

2747112368000 is an abundant number, since it is smaller than the sum of its proper divisors (6809741760640).

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

2747112368000 is a wasteful number, since it uses less digits than its factorization.

2747112368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 2747112368000 in words is "two trillion, seven hundred forty-seven billion, one hundred twelve million, three hundred sixty-eight thousand".