820321966080 has 576 divisors, whose sum is σ = 3103745299200. Its totient is φ = 207227289600.

The previous prime is 820321966069. The next prime is 820321966103. The reversal of 820321966080 is 80669123028.

820321966080 is a `hidden beast` number, since 8 + 2 + 0 + 32 + 1 + 9 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47269405 + ... + 47286755.

It is an arithmetic number, because the mean of its divisors is an integer number (5388446700).

Almost surely, 2^820321966080 is an apocalyptic number.

820321966080 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 820321966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551872649600).

820321966080 is an abundant number, since it is smaller than the sum of its proper divisors (2283423333120).

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

820321966080 is a wasteful number, since it uses less digits than its factorization.

820321966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17412 (or 17380 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 820321966080 in words is "eight hundred twenty billion, three hundred twenty-one million, nine hundred sixty-six thousand, eighty".