503877284064 has 384 divisors, whose sum is σ = 1928721715200. Its totient is φ = 123988631040.

The previous prime is 503877284021. The next prime is 503877284087. The reversal of 503877284064 is 460482778305.

503877284064 is a `hidden beast` number, since 503 + 8 + 7 + 72 + 8 + 4 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 503877284064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1064719 + ... + 1463345.

It is an arithmetic number, because the mean of its divisors is an integer number (5022712800).

Almost surely, 2^503877284064 is an apocalyptic number.

503877284064 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 503877284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964360857600).

503877284064 is an abundant number, since it is smaller than the sum of its proper divisors (1424844431136).

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

503877284064 is a wasteful number, since it uses less digits than its factorization.

503877284064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398683 (or 398669 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 503877284064 in words is "five hundred three billion, eight hundred seventy-seven million, two hundred eighty-four thousand, sixty-four".