503840354976 has 1080 divisors, whose sum is σ = 1839311133660. Its totient is φ = 134835757056.

The previous prime is 503840354959. The next prime is 503840354977. The reversal of 503840354976 is 679453048305.

503840354976 is a `hidden beast` number, since 50 + 3 + 8 + 40 + 3 + 549 + 7 + 6 = 666.

503840354976 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 238265039376 + 265575315600 = 488124^2 + 515340^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503840354977) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5661127540 + ... + 5661127628.

Almost surely, 2^503840354976 is an apocalyptic number.

503840354976 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 503840354976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919655566830).

503840354976 is an abundant number, since it is smaller than the sum of its proper divisors (1335470778684).

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

503840354976 is a wasteful number, since it uses less digits than its factorization.

503840354976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 503840354976 in words is "five hundred three billion, eight hundred forty million, three hundred fifty-four thousand, nine hundred seventy-six".