820631002656 has 192 divisors, whose sum is σ = 2250966122496. Its totient is φ = 261533260800.

The previous prime is 820631002627. The next prime is 820631002679. The reversal of 820631002656 is 656200136028.

820631002656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78426481 + ... + 78436943.

It is an arithmetic number, because the mean of its divisors is an integer number (11723781888).

Almost surely, 2^820631002656 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 820631002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125483061248).

820631002656 is an abundant number, since it is smaller than the sum of its proper divisors (1430335119840).

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

820631002656 is a wasteful number, since it uses less digits than its factorization.

820631002656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10895 (or 10887 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 820631002656 in words is "eight hundred twenty billion, six hundred thirty-one million, two thousand, six hundred fifty-six".