509343077369664 has 336 divisors, whose sum is σ = 1489324702320000. Its totient is φ = 166398962761728.

The previous prime is 509343077369641. The next prime is 509343077369669. The reversal of 509343077369664 is 466963770343905.

509343077369664 is a `hidden beast` number, since 5 + 0 + 9 + 3 + 430 + 7 + 73 + 69 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 509343077369592 and 509343077369601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509343077369669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17928919492 + ... + 17928947900.

It is an arithmetic number, because the mean of its divisors is an integer number (4432513995000).

Almost surely, 2^{509343077369664} 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 509343077369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744662351160000).

509343077369664 is an abundant number, since it is smaller than the sum of its proper divisors (979981624950336).

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

509343077369664 is a wasteful number, since it uses less digits than its factorization.

509343077369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31630 (or 31617 counting only the distinct ones).

The product of its (nonzero) digits is 1851776640, while the sum is 72.

The spelling of 509343077369664 in words is "five hundred nine trillion, three hundred forty-three billion, seventy-seven million, three hundred sixty-nine thousand, six hundred sixty-four".