506918412672 has 384 divisors, whose sum is σ = 1592012736000. Its totient is φ = 142474235904.

The previous prime is 506918412653. The next prime is 506918412697. The reversal of 506918412672 is 276214819605.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590125779 + ... + 590126637.

It is an arithmetic number, because the mean of its divisors is an integer number (4145866500).

Almost surely, 2^506918412672 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 506918412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796006368000).

506918412672 is an abundant number, since it is smaller than the sum of its proper divisors (1085094323328).

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

506918412672 is a wasteful number, since it uses less digits than its factorization.

506918412672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 506918412672 in words is "five hundred six billion, nine hundred eighteen million, four hundred twelve thousand, six hundred seventy-two".