326319477120 has 1920 divisors, whose sum is σ = 1531863368640. Its totient is φ = 64592805888.

The previous prime is 326319477097. The next prime is 326319477163. The reversal of 326319477120 is 21774913623.

326319477120 is a `hidden beast` number, since 3 + 2 + 631 + 9 + 4 + 7 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×326319477120² (a number of 24 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 1042554084 + ... + 1042554396.

Almost surely, 2^326319477120 is an apocalyptic number.

326319477120 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 326319477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765931684320).

326319477120 is an abundant number, since it is smaller than the sum of its proper divisors (1205543891520).

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

326319477120 is a wasteful number, since it uses less digits than its factorization.

326319477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 326319477120 in words is "three hundred twenty-six billion, three hundred nineteen million, four hundred seventy-seven thousand, one hundred twenty".