2728073420064 has 288 divisors, whose sum is σ = 7941164422464. Its totient is φ = 888161034240.

The previous prime is 2728073420053. The next prime is 2728073420069. The reversal of 2728073420064 is 4600243708272.

2728073420064 is a `hidden beast` number, since 27 + 2 + 80 + 73 + 420 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2728073420069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506389719 + ... + 1506391529.

It is an arithmetic number, because the mean of its divisors is an integer number (27573487578).

Almost surely, 2^{2728073420064} is an apocalyptic number.

2728073420064 is a gapful number since it is divisible by the number (24) 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 2728073420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970582211232).

2728073420064 is an abundant number, since it is smaller than the sum of its proper divisors (5213091002400).

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

2728073420064 is a wasteful number, since it uses less digits than its factorization.

2728073420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 2728073420064 in words is "two trillion, seven hundred twenty-eight billion, seventy-three million, four hundred twenty thousand, sixty-four".