501668226720 has 576 divisors, whose sum is σ = 1843184004480. Its totient is φ = 123863261184.

The previous prime is 501668226671. The next prime is 501668226743. The reversal of 501668226720 is 27622866105.

501668226720 is a `hidden beast` number, since 501 + 6 + 6 + 82 + 2 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503177262 + ... + 503178258.

It is an arithmetic number, because the mean of its divisors is an integer number (3199972230).

Almost surely, 2^501668226720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501668226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921592002240).

501668226720 is an abundant number, since it is smaller than the sum of its proper divisors (1341515777760).

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

501668226720 is a wasteful number, since it uses less digits than its factorization.

501668226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 501668226720 in words is "five hundred one billion, six hundred sixty-eight million, two hundred twenty-six thousand, seven hundred twenty".