340218673760 has 144 divisors (see below), whose sum is σ = 944073670176. Its totient is φ = 115513638912.

The previous prime is 340218673759. The next prime is 340218673777. The reversal of 340218673760 is 67376812043.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596864 + ... + 1018176.

It is an arithmetic number, because the mean of its divisors is an integer number (6556067154).

Almost surely, 2^340218673760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340218673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472036835088).

340218673760 is an abundant number, since it is smaller than the sum of its proper divisors (603854996416).

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

340218673760 is a wasteful number, since it uses less digits than its factorization.

340218673760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421445 (or 421430 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 340218673760 in words is "three hundred forty billion, two hundred eighteen million, six hundred seventy-three thousand, seven hundred sixty".