340185201627864 has 128 divisors (see below), whose sum is σ = 900805827317760. Its totient is φ = 106882502400000.

The previous prime is 340185201627809. The next prime is 340185201627871. The reversal of 340185201627864 is 468726102581043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9054909 + ... + 27610899.

It is an arithmetic number, because the mean of its divisors is an integer number (7037545525920).

Almost surely, 2^{340185201627864} 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 340185201627864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450402913658880).

340185201627864 is an abundant number, since it is smaller than the sum of its proper divisors (560620625689896).

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

340185201627864 is a wasteful number, since it uses less digits than its factorization.

340185201627864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18556673 (or 18556669 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 340185201627864 in words is "three hundred forty trillion, one hundred eighty-five billion, two hundred one million, six hundred twenty-seven thousand, eight hundred sixty-four".