327682040400 has 720 divisors, whose sum is σ = 1379112064512. Its totient is φ = 70958592000.

The previous prime is 327682040377. The next prime is 327682040423. The reversal of 327682040400 is 4040286723.

It is an interprime number because it is at equal distance from previous prime (327682040377) and next prime (327682040423).

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

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 15948534 + ... + 15969066.

Almost surely, 2^327682040400 is an apocalyptic number.

327682040400 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 327682040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689556032256).

327682040400 is an abundant number, since it is smaller than the sum of its proper divisors (1051430024112).

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

327682040400 is a wasteful number, since it uses less digits than its factorization.

327682040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612 (or 20598 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 327682040400 in words is "three hundred twenty-seven billion, six hundred eighty-two million, forty thousand, four hundred".