7485449760 has 288 divisors, whose sum is σ = 27887146560. Its totient is φ = 1890874368.

The previous prime is 7485449747. The next prime is 7485449767. The reversal of 7485449760 is 679445847.

7485449760 is a `hidden beast` number, since 7 + 4 + 8 + 544 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7485449697 and 7485449706.

It is not an unprimeable number, because it can be changed into a prime (7485449767) 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, 733654 + ... + 743786.

It is an arithmetic number, because the mean of its divisors is an integer number (96830370).

Almost surely, 2^7485449760 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 7485449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13943573280).

7485449760 is an abundant number, since it is smaller than the sum of its proper divisors (20401696800).

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

7485449760 is a wasteful number, since it uses less digits than its factorization.

7485449760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 7485449760 is about 86518.4937455571. The cubic root of 7485449760 is about 1956.1671730354.

The spelling of 7485449760 in words is "seven billion, four hundred eighty-five million, four hundred forty-nine thousand, seven hundred sixty".