326020479840 has 288 divisors, whose sum is σ = 1246489878816. Its totient is φ = 76899041280.

The previous prime is 326020479821. The next prime is 326020479859. The reversal of 326020479840 is 48974020623.

326020479840 is a `hidden beast` number, since 32 + 602 + 0 + 4 + 7 + 9 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (326020479821) and next prime (326020479859).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 307944 + ... + 864216.

It is an arithmetic number, because the mean of its divisors is an integer number (4328089857).

Almost surely, 2^326020479840 is an apocalyptic number.

326020479840 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 326020479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623244939408).

326020479840 is an abundant number, since it is smaller than the sum of its proper divisors (920469398976).

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

326020479840 is a wasteful number, since it uses less digits than its factorization.

326020479840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556342 (or 556331 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 326020479840 in words is "three hundred twenty-six billion, twenty million, four hundred seventy-nine thousand, eight hundred forty".