506745455040 has 336 divisors, whose sum is σ = 1912458858336. Its totient is φ = 122135961600.

The previous prime is 506745455017. The next prime is 506745455063. The reversal of 506745455040 is 40554547605.

506745455040 is a `hidden beast` number, since 5 + 0 + 6 + 7 + 4 + 54 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (506745455017) and next prime (506745455063).

It is a super-2 number, since 2×506745455040² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5434410 + ... + 5526870.

Almost surely, 2^506745455040 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 506745455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956229429168).

506745455040 is an abundant number, since it is smaller than the sum of its proper divisors (1405713403296).

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

506745455040 is a wasteful number, since it uses less digits than its factorization.

506745455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92668 (or 92655 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 506745455040 in words is "five hundred six billion, seven hundred forty-five million, four hundred fifty-five thousand, forty".