506277789696 has 576 divisors, whose sum is σ = 1739455119360. Its totient is φ = 142548664320.

The previous prime is 506277789679. The next prime is 506277789697. The reversal of 506277789696 is 696987772605.

506277789696 is a `hidden beast` number, since 506 + 27 + 7 + 7 + 8 + 9 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (506277789697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650668961 + ... + 2650669151.

It is an arithmetic number, because the mean of its divisors is an integer number (3019887360).

Almost surely, 2^506277789696 is an apocalyptic number.

506277789696 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 506277789696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869727559680).

506277789696 is an abundant number, since it is smaller than the sum of its proper divisors (1233177329664).

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

506277789696 is an equidigital number, since it uses as much as digits as its factorization.

506277789696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 506277789696 in words is "five hundred six billion, two hundred seventy-seven million, seven hundred eighty-nine thousand, six hundred ninety-six".