328699140480 has 768 divisors, whose sum is σ = 1257480806400. Its totient is φ = 81865728000.

The previous prime is 328699140457. The next prime is 328699140481. The reversal of 328699140480 is 84041996823.

328699140480 is a `hidden beast` number, since 32 + 8 + 6 + 9 + 91 + 40 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328699140481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139811305 + ... + 139813655.

It is an arithmetic number, because the mean of its divisors is an integer number (1637344800).

Almost surely, 2^328699140480 is an apocalyptic number.

328699140480 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 328699140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628740403200).

328699140480 is an abundant number, since it is smaller than the sum of its proper divisors (928781665920).

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

328699140480 is a wasteful number, since it uses less digits than its factorization.

328699140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 328699140480 in words is "three hundred twenty-eight billion, six hundred ninety-nine million, one hundred forty thousand, four hundred eighty".