325479168000 has 1728 divisors, whose sum is σ = 1446314032800. Its totient is φ = 71995392000.

The previous prime is 325479167977. The next prime is 325479168037. The reversal of 325479168000 is 861974523.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10499327985 + ... + 10499328015.

It is a 1-persistent number, because it is pandigital, but 2⋅325479168000 = 650958336000 is not.

Almost surely, 2^325479168000 is an apocalyptic number.

325479168000 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 325479168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723157016400).

325479168000 is an abundant number, since it is smaller than the sum of its proper divisors (1120834864800).

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

325479168000 is an equidigital number, since it uses as much as digits as its factorization.

325479168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 325479168000 in words is "three hundred twenty-five billion, four hundred seventy-nine million, one hundred sixty-eight thousand".