500690646456 has 1024 divisors, whose sum is σ = 1866120560640. Its totient is φ = 107606016000.

The previous prime is 500690646367. The next prime is 500690646457. The reversal of 500690646456 is 654646096005.

It is a super-2 number, since 2×500690646456² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 500690646399 and 500690646408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500690646457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 898905730 + ... + 898906286.

It is an arithmetic number, because the mean of its divisors is an integer number (1822383360).

Almost surely, 2^500690646456 is an apocalyptic number.

500690646456 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 500690646456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933060280320).

500690646456 is an abundant number, since it is smaller than the sum of its proper divisors (1365429914184).

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

500690646456 is a wasteful number, since it uses less digits than its factorization.

500690646456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 500690646456 in words is "five hundred billion, six hundred ninety million, six hundred forty-six thousand, four hundred fifty-six".