7582722048 has 288 divisors, whose sum is σ = 24147396000. Its totient is φ = 2273280000.

The previous prime is 7582722011. The next prime is 7582722079. The reversal of 7582722048 is 8402272857.

7582722048 is a `hidden beast` number, since 7 + 582 + 7 + 2 + 20 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7582721994 and 7582722012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30209923 + ... + 30210173.

It is an arithmetic number, because the mean of its divisors is an integer number (83845125).

Almost surely, 2^7582722048 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 7582722048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12073698000).

7582722048 is an abundant number, since it is smaller than the sum of its proper divisors (16564673952).

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

7582722048 is a wasteful number, since it uses less digits than its factorization.

7582722048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 7582722048 is about 87078.8266342628. The cubic root of 7582722048 is about 1964.6040979300.

The spelling of 7582722048 in words is "seven billion, five hundred eighty-two million, seven hundred twenty-two thousand, forty-eight".