505600646334 has 128 divisors (see below), whose sum is σ = 1204285639680. Its totient is φ = 138455654400.

The previous prime is 505600646311. The next prime is 505600646351. The reversal of 505600646334 is 433646006505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 108193822 + ... + 108198494.

It is an arithmetic number, because the mean of its divisors is an integer number (9408481560).

Almost surely, 2^505600646334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505600646334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602142819840).

505600646334 is an abundant number, since it is smaller than the sum of its proper divisors (698684993346).

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

505600646334 is a wasteful number, since it uses less digits than its factorization.

505600646334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346.

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 505600646334 in words is "five hundred five billion, six hundred million, six hundred forty-six thousand, three hundred thirty-four".