507045506400 has 576 divisors, whose sum is σ = 2014296076800. Its totient is φ = 122524047360.

The previous prime is 507045506399. The next prime is 507045506447. The reversal of 507045506400 is 4605540705.

It is a happy number.

507045506400 is a `hidden beast` number, since 5 + 0 + 7 + 0 + 4 + 5 + 5 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 9412342 + ... + 9466058.

It is an arithmetic number, because the mean of its divisors is an integer number (3497041800).

Almost surely, 2^507045506400 is an apocalyptic number.

507045506400 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 507045506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007148038400).

507045506400 is an abundant number, since it is smaller than the sum of its proper divisors (1507250570400).

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

507045506400 is a wasteful number, since it uses less digits than its factorization.

507045506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53788 (or 53769 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 507045506400 in words is "five hundred seven billion, forty-five million, five hundred six thousand, four hundred".