506400036760032 has 48 divisors (see below), whose sum is σ = 1329310602582480. Its totient is φ = 168798678147072.

The previous prime is 506400036760019. The next prime is 506400036760073. The reversal of 506400036760032 is 230067630004605.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8598307 + ... + 32965602.

It is an arithmetic number, because the mean of its divisors is an integer number (27693970887135).

Almost surely, 2^{506400036760032} is an apocalyptic number.

It is an amenable number.

506400036760032 is an abundant number, since it is smaller than the sum of its proper divisors (822910565822448).

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

506400036760032 is a wasteful number, since it uses less digits than its factorization.

506400036760032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41690835 (or 41690827 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

Adding to 506400036760032 its reverse (230067630004605), we get a palindrome (736467666764637).

The spelling of 506400036760032 in words is "five hundred six trillion, four hundred billion, thirty-six million, seven hundred sixty thousand, thirty-two".