326819078640 has 720 divisors, whose sum is σ = 1191270566304. Its totient is φ = 83249233920.

The previous prime is 326819078633. The next prime is 326819078653. The reversal of 326819078640 is 46870918623.

326819078640 is a `hidden beast` number, since 326 + 8 + 190 + 78 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×326819078640³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2385540652 + ... + 2385540788.

Almost surely, 2^326819078640 is an apocalyptic number.

326819078640 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 326819078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595635283152).

326819078640 is an abundant number, since it is smaller than the sum of its proper divisors (864451487664).

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

326819078640 is a wasteful number, since it uses less digits than its factorization.

326819078640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 326819078640 in words is "three hundred twenty-six billion, eight hundred nineteen million, seventy-eight thousand, six hundred forty".