503756216064 has 1008 divisors, whose sum is σ = 1720340203680. Its totient is φ = 146193776640.

The previous prime is 503756216011. The next prime is 503756216101. The reversal of 503756216064 is 460612657305.

503756216064 is a `hidden beast` number, since 5 + 0 + 37 + 5 + 6 + 2 + 1 + 606 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3677052604 + ... + 3677052740.

It is an arithmetic number, because the mean of its divisors is an integer number (1706686710).

Almost surely, 2^503756216064 is an apocalyptic number.

503756216064 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 503756216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860170101840).

503756216064 is an abundant number, since it is smaller than the sum of its proper divisors (1216583987616).

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

503756216064 is a wasteful number, since it uses less digits than its factorization.

503756216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 503756216064 in words is "five hundred three billion, seven hundred fifty-six million, two hundred sixteen thousand, sixty-four".