506037127680 has 480 divisors, whose sum is σ = 2090967151680. Its totient is φ = 115664855040.

The previous prime is 506037127663. The next prime is 506037127709. The reversal of 506037127680 is 86721730605.

506037127680 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 371 + 276 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3312175 + ... + 3461585.

It is an arithmetic number, because the mean of its divisors is an integer number (4356181566).

Almost surely, 2^506037127680 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 506037127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045483575840).

506037127680 is an abundant number, since it is smaller than the sum of its proper divisors (1584930024000).

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

506037127680 is a wasteful number, since it uses less digits than its factorization.

506037127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149457 (or 149428 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 506037127680 in words is "five hundred six billion, thirty-seven million, one hundred twenty-seven thousand, six hundred eighty".