820328614560 has 1152 divisors, whose sum is σ = 3761347000320. Its totient is φ = 163957395456.

The previous prime is 820328614559. The next prime is 820328614571. The reversal of 820328614560 is 65416823028.

820328614560 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 2 + 86 + 1 + 4 + 560 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 67217419 + ... + 67229621.

It is an arithmetic number, because the mean of its divisors is an integer number (3265058160).

Almost surely, 2^820328614560 is an apocalyptic number.

820328614560 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 820328614560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880673500160).

820328614560 is an abundant number, since it is smaller than the sum of its proper divisors (2941018385760).

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

820328614560 is a wasteful number, since it uses less digits than its factorization.

820328614560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12252 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 820328614560 in words is "eight hundred twenty billion, three hundred twenty-eight million, six hundred fourteen thousand, five hundred sixty".