506455534477760 has 168 divisors, whose sum is σ = 1402926109157664. Its totient is φ = 173638016133120.

The previous prime is 506455534477699. The next prime is 506455534477771. The reversal of 506455534477760 is 67774435554605.

It is a happy number.

It is a super-4 number, since 4×506455534477760⁴ (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751001525 + ... + 751675595.

It is an arithmetic number, because the mean of its divisors is an integer number (8350750649748).

Almost surely, 2^{506455534477760} is an apocalyptic number.

It is an amenable number.

506455534477760 is an abundant number, since it is smaller than the sum of its proper divisors (896470574679904).

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

506455534477760 is a wasteful number, since it uses less digits than its factorization.

506455534477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722019 (or 722002 counting only the distinct ones).

The product of its (nonzero) digits is 1481760000, while the sum is 68.

The spelling of 506455534477760 in words is "five hundred six trillion, four hundred fifty-five billion, five hundred thirty-four million, four hundred seventy-seven thousand, seven hundred sixty".