501361680456 has 384 divisors, whose sum is σ = 1779965940480. Its totient is φ = 128651867136.

The previous prime is 501361680439. The next prime is 501361680481. The reversal of 501361680456 is 654086163105.

501361680456 is a `hidden beast` number, since 5 + 0 + 1 + 36 + 168 + 0 + 456 = 666.

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, 6507150 + ... + 6583746.

It is an arithmetic number, because the mean of its divisors is an integer number (4635327970).

Almost surely, 2^501361680456 is an apocalyptic number.

501361680456 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 501361680456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889982970240).

501361680456 is an abundant number, since it is smaller than the sum of its proper divisors (1278604260024).

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

501361680456 is a wasteful number, since it uses less digits than its factorization.

501361680456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76675 (or 76659 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 501361680456 in words is "five hundred one billion, three hundred sixty-one million, six hundred eighty thousand, four hundred fifty-six".