801023159664 has 640 divisors, whose sum is σ = 3023086510080. Its totient is φ = 197053710336.

The previous prime is 801023159659. The next prime is 801023159689. The reversal of 801023159664 is 466951320108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75513049 + ... + 75523655.

It is an arithmetic number, because the mean of its divisors is an integer number (4723572672).

Almost surely, 2^801023159664 is an apocalyptic number.

801023159664 is a gapful number since it is divisible by the number (84) 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 801023159664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511543255040).

801023159664 is an abundant number, since it is smaller than the sum of its proper divisors (2222063350416).

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

801023159664 is a wasteful number, since it uses less digits than its factorization.

801023159664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 801023159664 in words is "eight hundred one billion, twenty-three million, one hundred fifty-nine thousand, six hundred sixty-four".