328224669696 has 1020 divisors, whose sum is σ = 1248720756976. Its totient is φ = 84085309440.

The previous prime is 328224669677. The next prime is 328224669697. The reversal of 328224669696 is 696966422823.

328224669696 is a `hidden beast` number, since 3 + 2 + 82 + 2 + 466 + 9 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (80621568) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328224669697) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4496228316 + ... + 4496228388.

Almost surely, 2^328224669696 is an apocalyptic number.

328224669696 is a gapful number since it is divisible by the number (36) 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 328224669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624360378488).

328224669696 is an abundant number, since it is smaller than the sum of its proper divisors (920496087280).

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

328224669696 is an frugal number, since it uses more digits than its factorization.

328224669696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 328224669696 in words is "three hundred twenty-eight billion, two hundred twenty-four million, six hundred sixty-nine thousand, six hundred ninety-six".