1825784064 has 270 divisors, whose sum is σ = 5906468106. Its totient is φ = 560701440.

The previous prime is 1825784063. The next prime is 1825784083. The reversal of 1825784064 is 4604875281.

1825784064 is a `hidden beast` number, since 18 + 2 + 578 + 4 + 0 + 64 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21233664 + 1804550400 = 4608^2 + 42480^2 .

It is a super-4 number, since 4×1825784064⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1825784063) 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 29 ways as a sum of consecutive naturals, for example, 3504124 + ... + 3504644.

Almost surely, 2^1825784064 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 1825784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953234053).

1825784064 is an abundant number, since it is smaller than the sum of its proper divisors (4080684042).

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

1825784064 is an equidigital number, since it uses as much as digits as its factorization.

1825784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1825784064 is about 42729.1945161619. The cubic root of 1825784064 is about 1222.2211762023.

The spelling of 1825784064 in words is "one billion, eight hundred twenty-five million, seven hundred eighty-four thousand, sixty-four".