801603642442680 has 3072 divisors, whose sum is σ = 3589517456179200. Its totient is φ = 150117359616000.

The previous prime is 801603642442643. The next prime is 801603642442709. The reversal of 801603642442680 is 86244246306108.

It is a happy number.

801603642442680 is a `hidden beast` number, since 8 + 0 + 1 + 60 + 3 + 64 + 2 + 442 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 501943419642 + ... + 501943421238.

It is an arithmetic number, because the mean of its divisors is an integer number (1168462713600).

Almost surely, 2^{801603642442680} 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 801603642442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794758728089600).

801603642442680 is an abundant number, since it is smaller than the sum of its proper divisors (2787913813736520).

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

801603642442680 is a wasteful number, since it uses less digits than its factorization.

801603642442680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

Adding to 801603642442680 its reverse (86244246306108), we get a palindrome (887847888748788).

The spelling of 801603642442680 in words is "eight hundred one trillion, six hundred three billion, six hundred forty-two million, four hundred forty-two thousand, six hundred eighty".