506770338816 has 880 divisors, whose sum is σ = 1824434701056. Its totient is φ = 136988983296.

The previous prime is 506770338799. The next prime is 506770338889. The reversal of 506770338816 is 618833077605.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1829495670 + ... + 1829495946.

Almost surely, 2^506770338816 is an apocalyptic number.

506770338816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506770338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912217350528).

506770338816 is an abundant number, since it is smaller than the sum of its proper divisors (1317664362240).

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

506770338816 is a wasteful number, since it uses less digits than its factorization.

506770338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 506770338816 in words is "five hundred six billion, seven hundred seventy million, three hundred thirty-eight thousand, eight hundred sixteen".