328666464000 has 1152 divisors, whose sum is σ = 1431775887360. Its totient is φ = 72658944000.

The previous prime is 328666463999. The next prime is 328666464001. The reversal of 328666464000 is 464666823.

It is an interprime number because it is at equal distance from previous prime (328666463999) and next prime (328666464001).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328666464001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187487124 + ... + 187488876.

Almost surely, 2^328666464000 is an apocalyptic number.

328666464000 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 328666464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715887943680).

328666464000 is an abundant number, since it is smaller than the sum of its proper divisors (1103109423360).

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

328666464000 is a wasteful number, since it uses less digits than its factorization.

328666464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 328666464000 in words is "three hundred twenty-eight billion, six hundred sixty-six million, four hundred sixty-four thousand".