340768618444800 has 3456 divisors, whose sum is σ = 1563394141370880. Its totient is φ = 71634950553600.

The previous prime is 340768618444741. The next prime is 340768618444811. The reversal of 340768618444800 is 8444816867043.

340768618444800 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 6 + 8 + 6 + 184 + 448 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×340768618444800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 555903129294 + ... + 555903129906.

It is an arithmetic number, because the mean of its divisors is an integer number (452370989980).

Almost surely, 2^{340768618444800} is an apocalyptic number.

340768618444800 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 340768618444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781697070685440).

340768618444800 is an abundant number, since it is smaller than the sum of its proper divisors (1222625522926080).

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

340768618444800 is a wasteful number, since it uses less digits than its factorization.

340768618444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 340768618444800 in words is "three hundred forty trillion, seven hundred sixty-eight billion, six hundred eighteen million, four hundred forty-four thousand, eight hundred".