7569425664 has 108 divisors (see below), whose sum is σ = 22414624596. Its totient is φ = 2454921216.

The previous prime is 7569425663. The next prime is 7569425671. The reversal of 7569425664 is 4665249657.

7569425664 is a `hidden beast` number, since 75 + 6 + 9 + 4 + 2 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3345465600 + 4223960064 = 57840^2 + 64992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7569425664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7569425663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40852 + ... + 129644.

Almost surely, 2^7569425664 is an apocalyptic number.

7569425664 is a gapful number since it is divisible by the number (74) 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 7569425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11207312298).

7569425664 is an abundant number, since it is smaller than the sum of its proper divisors (14845198932).

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

7569425664 is a wasteful number, since it uses less digits than its factorization.

7569425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88852 (or 88835 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 7569425664 is about 87002.4463104343. The cubic root of 7569425664 is about 1963.4551079983.

The spelling of 7569425664 in words is "seven billion, five hundred sixty-nine million, four hundred twenty-five thousand, six hundred sixty-four".