7473078144 has 448 divisors, whose sum is σ = 27050963040. Its totient is φ = 2006581248.

The previous prime is 7473078139. The next prime is 7473078187. The reversal of 7473078144 is 4418703747.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 7473078144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11103792 + ... + 11104464.

Almost surely, 2^7473078144 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 7473078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525481520).

7473078144 is an abundant number, since it is smaller than the sum of its proper divisors (19577884896).

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

7473078144 is an equidigital number, since it uses as much as digits as its factorization.

7473078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 7473078144 is about 86446.9672342529. The cubic root of 7473078144 is about 1955.0888902835.

The spelling of 7473078144 in words is "seven billion, four hundred seventy-three million, seventy-eight thousand, one hundred forty-four".