506968761600 has 2268 divisors, whose sum is σ = 2322043733856. Its totient is φ = 107226685440.

The previous prime is 506968761553. The next prime is 506968761647. The reversal of 506968761600 is 6167869605.

506968761600 is a `hidden beast` number, since 506 + 9 + 6 + 8 + 76 + 1 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506968761553) and next prime (506968761647).

It is a tau number, because it is divible by the number of its divisors (2268).

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 251 ways as a sum of consecutive naturals, for example, 11789971179 + ... + 11789971221.

Almost surely, 2^506968761600 is an apocalyptic number.

506968761600 is a gapful number since it is divisible by the number (50) 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 506968761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161021866928).

506968761600 is an abundant number, since it is smaller than the sum of its proper divisors (1815074972256).

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

506968761600 is an equidigital number, since it uses as much as digits as its factorization.

506968761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 506968761600 in words is "five hundred six billion, nine hundred sixty-eight million, seven hundred sixty-one thousand, six hundred".