327226028640 has 1536 divisors, whose sum is σ = 1399903948800. Its totient is φ = 62426972160.

The previous prime is 327226028593. The next prime is 327226028653. The reversal of 327226028640 is 46820622723.

It is a happy number.

It is a super-2 number, since 2×327226028640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 327226028592 and 327226028601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1164505300 + ... + 1164505580.

It is an arithmetic number, because the mean of its divisors is an integer number (911395800).

Almost surely, 2^327226028640 is an apocalyptic number.

327226028640 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 327226028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699951974400).

327226028640 is an abundant number, since it is smaller than the sum of its proper divisors (1072677920160).

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

327226028640 is a wasteful number, since it uses less digits than its factorization.

327226028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 327226028640 in words is "three hundred twenty-seven billion, two hundred twenty-six million, twenty-eight thousand, six hundred forty".