7455444480 has 480 divisors, whose sum is σ = 29415260160. Its totient is φ = 1727447040.

The previous prime is 7455444427. The next prime is 7455444487. The reversal of 7455444480 is 844445547.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-5 number, since 5×7455444480⁵ (a number of 51 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7455444487) 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, 5828481 + ... + 5829759.

It is an arithmetic number, because the mean of its divisors is an integer number (61281792).

Almost surely, 2^7455444480 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 7455444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707630080).

7455444480 is an abundant number, since it is smaller than the sum of its proper divisors (21959815680).

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

7455444480 is a wasteful number, since it uses less digits than its factorization.

7455444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The square root of 7455444480 is about 86344.9157738891. The cubic root of 7455444480 is about 1953.5499201364.

The spelling of 7455444480 in words is "seven billion, four hundred fifty-five million, four hundred forty-four thousand, four hundred eighty".