501428262672 has 160 divisors (see below), whose sum is σ = 1449004460160. Its totient is φ = 166015941120.

The previous prime is 501428262631. The next prime is 501428262679. The reversal of 501428262672 is 276262824105.

501428262672 is a `hidden beast` number, since 5 + 0 + 14 + 2 + 8 + 2 + 626 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (501428262679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96481578 + ... + 96486774.

It is an arithmetic number, because the mean of its divisors is an integer number (9056277876).

Almost surely, 2^501428262672 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 501428262672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724502230080).

501428262672 is an abundant number, since it is smaller than the sum of its proper divisors (947576197488).

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

501428262672 is a wasteful number, since it uses less digits than its factorization.

501428262672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 501428262672 in words is "five hundred one billion, four hundred twenty-eight million, two hundred sixty-two thousand, six hundred seventy-two".