820396628604 has 144 divisors (see below), whose sum is σ = 2528606336256. Its totient is φ = 218926656000.

The previous prime is 820396628573. The next prime is 820396628627. The reversal of 820396628604 is 406826693028.

820396628604 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 9 + 6 + 6 + 28 + 604 = 666.

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, 169722 + ... + 1292129.

It is an arithmetic number, because the mean of its divisors is an integer number (17559766224).

Almost surely, 2^820396628604 is an apocalyptic number.

820396628604 is a gapful number since it is divisible by the number (84) 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 820396628604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264303168128).

820396628604 is an abundant number, since it is smaller than the sum of its proper divisors (1708209707652).

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

820396628604 is a wasteful number, since it uses less digits than its factorization.

820396628604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462016 (or 1462011 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 820396628604 in words is "eight hundred twenty billion, three hundred ninety-six million, six hundred twenty-eight thousand, six hundred four".