506671033344 has 704 divisors, whose sum is σ = 1716200607744. Its totient is φ = 129581973504.

The previous prime is 506671033279. The next prime is 506671033369. The reversal of 506671033344 is 443330176605.

It is a super-4 number, since 4×506671033344⁴ (a number of 48 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 506671033296 and 506671033305.

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, 635722354 + ... + 635723150.

Almost surely, 2^506671033344 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 506671033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858100303872).

506671033344 is an abundant number, since it is smaller than the sum of its proper divisors (1209529574400).

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

506671033344 is a wasteful number, since it uses less digits than its factorization.

506671033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 506671033344 in words is "five hundred six billion, six hundred seventy-one million, thirty-three thousand, three hundred forty-four".