2721807728640 has 1728 divisors, whose sum is σ = 12696210438912. Its totient is φ = 520932556800.

The previous prime is 2721807728621. The next prime is 2721807728671. The reversal of 2721807728640 is 468277081272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5904138010 + ... + 5904138470.

It is an arithmetic number, because the mean of its divisors is an integer number (7347344004).

Almost surely, 2^{2721807728640} is an apocalyptic number.

2721807728640 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 2721807728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348105219456).

2721807728640 is an abundant number, since it is smaller than the sum of its proper divisors (9974402710272).

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

2721807728640 is a wasteful number, since it uses less digits than its factorization.

2721807728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 2721807728640 in words is "two trillion, seven hundred twenty-one billion, eight hundred seven million, seven hundred twenty-eight thousand, six hundred forty".