504403211664 has 1200 divisors, whose sum is σ = 1798213795840. Its totient is φ = 135796953600.

The previous prime is 504403211659. The next prime is 504403211687. The reversal of 504403211664 is 466112304405.

504403211664 is a `hidden beast` number, since 50 + 440 + 3 + 2 + 1 + 166 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3971678769 + ... + 3971678895.

Almost surely, 2^504403211664 is an apocalyptic number.

504403211664 is a gapful number since it is divisible by the number (54) 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 504403211664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899106897920).

504403211664 is an abundant number, since it is smaller than the sum of its proper divisors (1293810584176).

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

504403211664 is a wasteful number, since it uses less digits than its factorization.

504403211664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 504403211664 in words is "five hundred four billion, four hundred three million, two hundred eleven thousand, six hundred sixty-four".