507668428800 has 1728 divisors, whose sum is σ = 2107510423200. Its totient is φ = 119616307200.

The previous prime is 507668428703. The next prime is 507668428849. The reversal of 507668428800 is 8824866705.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9578649574 + ... + 9578649626.

Almost surely, 2^507668428800 is an apocalyptic number.

507668428800 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 507668428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053755211600).

507668428800 is an abundant number, since it is smaller than the sum of its proper divisors (1599841994400).

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

507668428800 is a wasteful number, since it uses less digits than its factorization.

507668428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 507668428800 in words is "five hundred seven billion, six hundred sixty-eight million, four hundred twenty-eight thousand, eight hundred".