144807727680 has 2016 divisors, whose sum is σ = 682990963200. Its totient is φ = 27476951040.

The previous prime is 144807727637. The next prime is 144807727717. The reversal of 144807727680 is 86727708441.

144807727680 is a `hidden beast` number, since 14 + 480 + 7 + 7 + 2 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×144807727680³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1627053076 + ... + 1627053164.

It is an arithmetic number, because the mean of its divisors is an integer number (338785200).

Almost surely, 2^144807727680 is an apocalyptic number.

144807727680 is a gapful number since it is divisible by the number (10) 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 144807727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341495481600).

144807727680 is an abundant number, since it is smaller than the sum of its proper divisors (538183235520).

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

144807727680 is a wasteful number, since it uses less digits than its factorization.

144807727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

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

The spelling of 144807727680 in words is "one hundred forty-four billion, eight hundred seven million, seven hundred twenty-seven thousand, six hundred eighty".