801216470560 has 192 divisors, whose sum is σ = 2182017761280. Its totient is φ = 275155246080.

The previous prime is 801216470473. The next prime is 801216470573. The reversal of 801216470560 is 65074612108.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3072649 + ... + 3323191.

It is an arithmetic number, because the mean of its divisors is an integer number (11364675840).

Almost surely, 2^801216470560 is an apocalyptic number.

801216470560 is a gapful number since it is divisible by the number (80) 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 801216470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091008880640).

801216470560 is an abundant number, since it is smaller than the sum of its proper divisors (1380801290720).

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

801216470560 is a wasteful number, since it uses less digits than its factorization.

801216470560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250671 (or 250663 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 801216470560 in words is "eight hundred one billion, two hundred sixteen million, four hundred seventy thousand, five hundred sixty".