7825581504 has 336 divisors, whose sum is σ = 25226711040. Its totient is φ = 2377589760.

The previous prime is 7825581487. The next prime is 7825581523. The reversal of 7825581504 is 4051855287.

7825581504 is a `hidden beast` number, since 7 + 82 + 558 + 15 + 0 + 4 = 666.

It is a super-2 number, since 2×7825581504² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7825581504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37087959 + ... + 37088169.

Almost surely, 2^7825581504 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 7825581504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12613355520).

7825581504 is an abundant number, since it is smaller than the sum of its proper divisors (17401129536).

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

7825581504 is a wasteful number, since it uses less digits than its factorization.

7825581504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The square root of 7825581504 is about 88462.3168586489. The cubic root of 7825581504 is about 1985.3581956955.

The spelling of 7825581504 in words is "seven billion, eight hundred twenty-five million, five hundred eighty-one thousand, five hundred four".