7389549984960 has 4032 divisors, whose sum is σ = 34382484025344. Its totient is φ = 1490603212800.

The previous prime is 7389549984959. The next prime is 7389549984967. The reversal of 7389549984960 is 694899459837.

7389549984960 is a `hidden beast` number, since 7 + 3 + 8 + 9 + 549 + 9 + 8 + 4 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 7389549984960.

It is not an unprimeable number, because it can be changed into a prime (7389549984967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 76180927632 + ... + 76180927728.

It is an arithmetic number, because the mean of its divisors is an integer number (8527401792).

Almost surely, 2^{7389549984960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7389549984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191242012672).

7389549984960 is an abundant number, since it is smaller than the sum of its proper divisors (26992934040384).

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

7389549984960 is a wasteful number, since it uses less digits than its factorization.

7389549984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 7389549984960 in words is "seven trillion, three hundred eighty-nine billion, five hundred forty-nine million, nine hundred eighty-four thousand, nine hundred sixty".