801489896676000 has 6912 divisors, whose sum is σ = 3779311615672320. Its totient is φ = 162956344320000.

The previous prime is 801489896675989. The next prime is 801489896676041. The reversal of 801489896676000 is 676698984108.

801489896676000 is a `hidden beast` number, since 8 + 0 + 1 + 4 + 8 + 9 + 8 + 9 + 6 + 6 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 801489896676000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3798530315895 + ... + 3798530316105.

It is an arithmetic number, because the mean of its divisors is an integer number (546775407360).

Almost surely, 2^{801489896676000} is an apocalyptic number.

801489896676000 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 801489896676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889655807836160).

801489896676000 is an abundant number, since it is smaller than the sum of its proper divisors (2977821718996320).

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

801489896676000 is a wasteful number, since it uses less digits than its factorization.

801489896676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 801489896676000 in words is "eight hundred one trillion, four hundred eighty-nine billion, eight hundred ninety-six million, six hundred seventy-six thousand".