328501746720 has 1920 divisors, whose sum is σ = 1500246074880. Its totient is φ = 67596705792.

The previous prime is 328501746691. The next prime is 328501746733. The reversal of 328501746720 is 27647105823.

328501746720 is a `hidden beast` number, since 3 + 2 + 8 + 501 + 74 + 6 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14282684629 + ... + 14282684651.

It is an arithmetic number, because the mean of its divisors is an integer number (781378164).

Almost surely, 2^328501746720 is an apocalyptic number.

328501746720 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 328501746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750123037440).

328501746720 is an abundant number, since it is smaller than the sum of its proper divisors (1171744328160).

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

328501746720 is an frugal number, since it uses more digits than its factorization.

328501746720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 328501746720 in words is "three hundred twenty-eight billion, five hundred one million, seven hundred forty-six thousand, seven hundred twenty".