822485975040 has 760 divisors, whose sum is σ = 3020698424832. Its totient is φ = 214035333120.

The previous prime is 822485974993. The next prime is 822485975083. The reversal of 822485975040 is 40579584228.

822485975040 is a `hidden beast` number, since 8 + 2 + 2 + 4 + 8 + 597 + 5 + 0 + 40 = 666.

822485975040 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6476267457 + ... + 6476267583.

Almost surely, 2^822485975040 is an apocalyptic number.

822485975040 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 822485975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510349212416).

822485975040 is an abundant number, since it is smaller than the sum of its proper divisors (2198212449792).

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

822485975040 is an frugal number, since it uses more digits than its factorization.

822485975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 822485975040 in words is "eight hundred twenty-two billion, four hundred eighty-five million, nine hundred seventy-five thousand, forty".