7552385568 has 432 divisors, whose sum is σ = 27596552256. Its totient is φ = 1989411840.

The previous prime is 7552385531. The next prime is 7552385629. The reversal of 7552385568 is 8655832557.

It is a happy number.

7552385568 is a `hidden beast` number, since 7 + 5 + 52 + 38 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9198598 + ... + 9199418.

It is an arithmetic number, because the mean of its divisors is an integer number (63880908).

Almost surely, 2^7552385568 is an apocalyptic number.

7552385568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7552385568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798276128).

7552385568 is an abundant number, since it is smaller than the sum of its proper divisors (20044166688).

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

7552385568 is a wasteful number, since it uses less digits than its factorization.

7552385568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 846 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The square root of 7552385568 is about 86904.4623020015. The cubic root of 7552385568 is about 1961.9806411691.

The spelling of 7552385568 in words is "seven billion, five hundred fifty-two million, three hundred eighty-five thousand, five hundred sixty-eight".