340061568000 has 2112 divisors, whose sum is σ = 1509740384256. Its totient is φ = 67092480000.

The previous prime is 340061567987. The next prime is 340061568001. The reversal of 340061568000 is 865160043.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340061568001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6416255974 + ... + 6416256026.

Almost surely, 2^340061568000 is an apocalyptic number.

340061568000 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 340061568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754870192128).

340061568000 is an abundant number, since it is smaller than the sum of its proper divisors (1169678816256).

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

340061568000 is a wasteful number, since it uses less digits than its factorization.

340061568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 340061568000 in words is "three hundred forty billion, sixty-one million, five hundred sixty-eight thousand".