801484046720 has 384 divisors, whose sum is σ = 2376019008000. Its totient is φ = 257021227008.

The previous prime is 801484046717. The next prime is 801484046729. The reversal of 801484046720 is 27640484108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801484046729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47062847 + ... + 47079873.

It is an arithmetic number, because the mean of its divisors is an integer number (6187549500).

Almost surely, 2^801484046720 is an apocalyptic number.

801484046720 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 801484046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188009504000).

801484046720 is an abundant number, since it is smaller than the sum of its proper divisors (1574534961280).

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

801484046720 is a wasteful number, since it uses less digits than its factorization.

801484046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17158 (or 17139 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 801484046720 in words is "eight hundred one billion, four hundred eighty-four million, forty-six thousand, seven hundred twenty".