820457410360 has 256 divisors, whose sum is σ = 2306257920000. Its totient is φ = 256497905664.

The previous prime is 820457410351. The next prime is 820457410363. The reversal of 820457410360 is 63014754028.

820457410360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820457410363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14726236 + ... + 14781844.

It is an arithmetic number, because the mean of its divisors is an integer number (9008820000).

Almost surely, 2^820457410360 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 820457410360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153128960000).

820457410360 is an abundant number, since it is smaller than the sum of its proper divisors (1485800509640).

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

820457410360 is a wasteful number, since it uses less digits than its factorization.

820457410360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55758 (or 55754 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 820457410360 in words is "eight hundred twenty billion, four hundred fifty-seven million, four hundred ten thousand, three hundred sixty".