326172672000 has 960 divisors, whose sum is σ = 1360966464000. Its totient is φ = 73610035200.

The previous prime is 326172671953. The next prime is 326172672017. The reversal of 326172672000 is 276271623.

It is a happy number.

326172672000 is a `hidden beast` number, since 32 + 617 + 2 + 6 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×326172672000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4128767961 + ... + 4128768039.

It is an arithmetic number, because the mean of its divisors is an integer number (1417673400).

Almost surely, 2^326172672000 is an apocalyptic number.

326172672000 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 326172672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680483232000).

326172672000 is an abundant number, since it is smaller than the sum of its proper divisors (1034793792000).

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

326172672000 is an frugal number, since it uses more digits than its factorization.

326172672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 326172672000 in words is "three hundred twenty-six billion, one hundred seventy-two million, six hundred seventy-two thousand".