340730507335680 has 6144 divisors, whose sum is σ = 1630999402905600. Its totient is φ = 66768991027200.

The previous prime is 340730507335663. The next prime is 340730507335681. The reversal of 340730507335680 is 86533705037043.

340730507335680 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 3 + 0 + 5 + 0 + 73 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340730507335681) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4799021230045 + ... + 4799021230115.

It is an arithmetic number, because the mean of its divisors is an integer number (265462142400).

Almost surely, 2^{340730507335680} is an apocalyptic number.

340730507335680 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 340730507335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815499701452800).

340730507335680 is an abundant number, since it is smaller than the sum of its proper divisors (1290268895569920).

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

340730507335680 is an frugal number, since it uses more digits than its factorization.

340730507335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 340730507335680 in words is "three hundred forty trillion, seven hundred thirty billion, five hundred seven million, three hundred thirty-five thousand, six hundred eighty".