326973093258240 has 880 divisors, whose sum is σ = 1376527279216320. Its totient is φ = 73168790814720.

The previous prime is 326973093258169. The next prime is 326973093258247. The reversal of 326973093258240 is 42852390379623.

It is a happy number.

326973093258240 is a `hidden beast` number, since 3 + 2 + 6 + 9 + 7 + 3 + 0 + 9 + 3 + 2 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×326973093258240² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (326973093258247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56548251 + ... + 62061669.

It is an arithmetic number, because the mean of its divisors is an integer number (1564235544564).

Almost surely, 2^{326973093258240} is an apocalyptic number.

326973093258240 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 326973093258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688263639608160).

326973093258240 is an abundant number, since it is smaller than the sum of its proper divisors (1049554185958080).

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

326973093258240 is a wasteful number, since it uses less digits than its factorization.

326973093258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513480 (or 5513453 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 326973093258240 in words is "three hundred twenty-six trillion, nine hundred seventy-three billion, ninety-three million, two hundred fifty-eight thousand, two hundred forty".