503721874656 has 1440 divisors, whose sum is σ = 2084961973248. Its totient is φ = 115206727680.

The previous prime is 503721874627. The next prime is 503721874697. The reversal of 503721874656 is 656478127305.

503721874656 is a `hidden beast` number, since 5 + 0 + 372 + 187 + 46 + 56 = 666.

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 239 ways as a sum of consecutive naturals, for example, 1372538985 + ... + 1372539351.

Almost surely, 2^503721874656 is an apocalyptic number.

503721874656 is a gapful number since it is divisible by the number (56) 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 503721874656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042480986624).

503721874656 is an abundant number, since it is smaller than the sum of its proper divisors (1581240098592).

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

503721874656 is a wasteful number, since it uses less digits than its factorization.

503721874656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 503721874656 in words is "five hundred three billion, seven hundred twenty-one million, eight hundred seventy-four thousand, six hundred fifty-six".