7453072028160 has 960 divisors, whose sum is σ = 29450650394880. Its totient is φ = 1727533547520.

The previous prime is 7453072028123. The next prime is 7453072028219. The reversal of 7453072028160 is 618202703547.

7453072028160 is a `hidden beast` number, since 7 + 4 + 5 + 307 + 2 + 0 + 281 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3083603272 + ... + 3083605688.

It is an arithmetic number, because the mean of its divisors is an integer number (30677760828).

Almost surely, 2^{7453072028160} 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 7453072028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725325197440).

7453072028160 is an abundant number, since it is smaller than the sum of its proper divisors (21997578366720).

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

7453072028160 is a wasteful number, since it uses less digits than its factorization.

7453072028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 7453072028160 in words is "seven trillion, four hundred fifty-three billion, seventy-two million, twenty-eight thousand, one hundred sixty".