509469450950064 has 320 divisors, whose sum is σ = 1523474057134080. Its totient is φ = 145240076160000.

The previous prime is 509469450950059. The next prime is 509469450950071. The reversal of 509469450950064 is 460059054964905.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 509469450949977 and 509469450950004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 696698577 + ... + 697429455.

It is an arithmetic number, because the mean of its divisors is an integer number (4760856428544).

Almost surely, 2^{509469450950064} 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 509469450950064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761737028567040).

509469450950064 is an abundant number, since it is smaller than the sum of its proper divisors (1014004606184016).

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

509469450950064 is a wasteful number, since it uses less digits than its factorization.

509469450950064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732120 (or 732114 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 66.

The spelling of 509469450950064 in words is "five hundred nine trillion, four hundred sixty-nine billion, four hundred fifty million, nine hundred fifty thousand, sixty-four".