340559815680 has 1056 divisors, whose sum is σ = 1425498048000. Its totient is φ = 75056873472.

The previous prime is 340559815679. The next prime is 340559815681. The reversal of 340559815680 is 86518955043.

340559815680 is a `hidden beast` number, since 3 + 4 + 0 + 559 + 8 + 1 + 5 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (340559815679) and next prime (340559815681).

It is not an unprimeable number, because it can be changed into a prime (340559815681) 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, 458357389 + ... + 458358131.

Almost surely, 2^340559815680 is an apocalyptic number.

340559815680 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 340559815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712749024000).

340559815680 is an abundant number, since it is smaller than the sum of its proper divisors (1084938232320).

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

340559815680 is a wasteful number, since it uses less digits than its factorization.

340559815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 340559815680 in words is "three hundred forty billion, five hundred fifty-nine million, eight hundred fifteen thousand, six hundred eighty".