7825260564 has 144 divisors (see below), whose sum is σ = 21936096000. Its totient is φ = 2332323840.

The previous prime is 7825260557. The next prime is 7825260571. The reversal of 7825260564 is 4650625287.

7825260564 is a `hidden beast` number, since 7 + 8 + 25 + 2 + 60 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (7825260557) and next prime (7825260571).

It is a super-2 number, since 2×7825260564² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8422852 + ... + 8423780.

It is an arithmetic number, because the mean of its divisors is an integer number (152334000).

Almost surely, 2^7825260564 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 7825260564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048000).

7825260564 is an abundant number, since it is smaller than the sum of its proper divisors (14110835436).

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

7825260564 is a wasteful number, since it uses less digits than its factorization.

7825260564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 7825260564 is about 88460.5028473160. The cubic root of 7825260564 is about 1985.3310543868.

The spelling of 7825260564 in words is "seven billion, eight hundred twenty-five million, two hundred sixty thousand, five hundred sixty-four".