820846374768 has 480 divisors, whose sum is σ = 2926559116800. Its totient is φ = 219108105216.

The previous prime is 820846374749. The next prime is 820846374779. The reversal of 820846374768 is 867473648028.

820846374768 is a `hidden beast` number, since 8 + 20 + 84 + 63 + 7 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20915548 + ... + 20954756.

It is an arithmetic number, because the mean of its divisors is an integer number (6096998160).

Almost surely, 2^820846374768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820846374768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463279558400).

820846374768 is an abundant number, since it is smaller than the sum of its proper divisors (2105712742032).

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

820846374768 is a wasteful number, since it uses less digits than its factorization.

820846374768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39306 (or 39287 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 820846374768 in words is "eight hundred twenty billion, eight hundred forty-six million, three hundred seventy-four thousand, seven hundred sixty-eight".