7825595904 has 480 divisors, whose sum is σ = 27168261120. Its totient is φ = 2122039296.

The previous prime is 7825595903. The next prime is 7825595951. The reversal of 7825595904 is 4095955287.

7825595904 is a `hidden beast` number, since 7 + 82 + 559 + 5 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×7825595904² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825595903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94284247 + ... + 94284329.

It is an arithmetic number, because the mean of its divisors is an integer number (56600544).

Almost surely, 2^7825595904 is an apocalyptic number.

7825595904 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 7825595904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584130560).

7825595904 is an abundant number, since it is smaller than the sum of its proper divisors (19342665216).

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

7825595904 is a wasteful number, since it uses less digits than its factorization.

7825595904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The square root of 7825595904 is about 88462.3982491996. The cubic root of 7825595904 is about 1985.3594134598.

It can be divided in two parts, 7825 and 595904, that added together give a square (603729 = 777²).

The spelling of 7825595904 in words is "seven billion, eight hundred twenty-five million, five hundred ninety-five thousand, nine hundred four".