506778466400 has 216 divisors, whose sum is σ = 1275369121152. Its totient is φ = 196632064000.

The previous prime is 506778466393. The next prime is 506778466427. The reversal of 506778466400 is 4664877605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256855814 + ... + 256857786.

It is an arithmetic number, because the mean of its divisors is an integer number (5904486672).

Almost surely, 2^506778466400 is an apocalyptic number.

506778466400 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 506778466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637684560576).

506778466400 is an abundant number, since it is smaller than the sum of its proper divisors (768590654752).

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

506778466400 is a wasteful number, since it uses less digits than its factorization.

506778466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 506778466400 in words is "five hundred six billion, seven hundred seventy-eight million, four hundred sixty-six thousand, four hundred".