320769146880 has 1080 divisors, whose sum is σ = 1395051617232. Its totient is φ = 67579674624.

The previous prime is 320769146839. The next prime is 320769146897. The reversal of 320769146880 is 88641967023.

320769146880 is a `hidden beast` number, since 3 + 20 + 76 + 91 + 468 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469647019 + ... + 469647701.

Almost surely, 2^320769146880 is an apocalyptic number.

320769146880 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 320769146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697525808616).

320769146880 is an abundant number, since it is smaller than the sum of its proper divisors (1074282470352).

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

320769146880 is a wasteful number, since it uses less digits than its factorization.

320769146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 320769146880 in words is "three hundred twenty billion, seven hundred sixty-nine million, one hundred forty-six thousand, eight hundred eighty".