506838777984 has 896 divisors, whose sum is σ = 1970144916480. Its totient is φ = 125881620480.

The previous prime is 506838777943. The next prime is 506838777997. The reversal of 506838777984 is 489777838605.

506838777984 is a `hidden beast` number, since 506 + 8 + 38 + 7 + 7 + 7 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 165254019 + ... + 165257085.

Almost surely, 2^506838777984 is an apocalyptic number.

506838777984 is a gapful number since it is divisible by the number (54) 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 506838777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985072458240).

506838777984 is an abundant number, since it is smaller than the sum of its proper divisors (1463306138496).

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

506838777984 is a wasteful number, since it uses less digits than its factorization.

506838777984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 506838777984 in words is "five hundred six billion, eight hundred thirty-eight million, seven hundred seventy-seven thousand, nine hundred eighty-four".