506494426032 has 640 divisors, whose sum is σ = 1819494973440. Its totient is φ = 131725440000.

The previous prime is 506494425991. The next prime is 506494426103. The reversal of 506494426032 is 230624494605.

506494426032 is a `hidden beast` number, since 50 + 64 + 94 + 426 + 0 + 32 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131520907 + ... + 131524757.

It is an arithmetic number, because the mean of its divisors is an integer number (2842960896).

Almost surely, 2^506494426032 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 506494426032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909747486720).

506494426032 is an abundant number, since it is smaller than the sum of its proper divisors (1313000547408).

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

506494426032 is a wasteful number, since it uses less digits than its factorization.

506494426032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 506494426032 in words is "five hundred six billion, four hundred ninety-four million, four hundred twenty-six thousand, thirty-two".