7380527616 has 720 divisors, whose sum is σ = 28073869824. Its totient is φ = 1824768000.

The previous prime is 7380527597. The next prime is 7380527617. The reversal of 7380527616 is 6167250837.

7380527616 is a `hidden beast` number, since 7 + 3 + 8 + 0 + 5 + 27 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7380527617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120992226 + ... + 120992286.

Almost surely, 2^7380527616 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 7380527616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14036934912).

7380527616 is an abundant number, since it is smaller than the sum of its proper divisors (20693342208).

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

7380527616 is a wasteful number, since it uses less digits than its factorization.

7380527616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7380527616 is about 85909.9971830985. The cubic root of 7380527616 is about 1946.9843913333.

The spelling of 7380527616 in words is "seven billion, three hundred eighty million, five hundred twenty-seven thousand, six hundred sixteen".