325823477760 has 576 divisors, whose sum is σ = 1236898615680. Its totient is φ = 78667776000.

The previous prime is 325823477753. The next prime is 325823477801. The reversal of 325823477760 is 67774328523.

325823477760 is a `hidden beast` number, since 3 + 25 + 82 + 3 + 477 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 325823477697 and 325823477706.

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, 335554075 + ... + 335555045.

It is an arithmetic number, because the mean of its divisors is an integer number (2147393430).

Almost surely, 2^325823477760 is an apocalyptic number.

325823477760 is a gapful number since it is divisible by the number (30) 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 325823477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618449307840).

325823477760 is an abundant number, since it is smaller than the sum of its proper divisors (911075137920).

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

325823477760 is a wasteful number, since it uses less digits than its factorization.

325823477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 325823477760 in words is "three hundred twenty-five billion, eight hundred twenty-three million, four hundred seventy-seven thousand, seven hundred sixty".