7822573056 has 400 divisors, whose sum is σ = 24954652800. Its totient is φ = 2434240512.

The previous prime is 7822573043. The next prime is 7822573061. The reversal of 7822573056 is 6503752287.

7822573056 is a `hidden beast` number, since 7 + 8 + 22 + 573 + 0 + 56 = 666.

It is a super-2 number, since 2×7822573056² (a number of 21 digits) contains 22 as substring.

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, 56277435 + ... + 56277573.

It is an arithmetic number, because the mean of its divisors is an integer number (62386632).

Almost surely, 2^7822573056 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 7822573056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477326400).

7822573056 is an abundant number, since it is smaller than the sum of its proper divisors (17132079744).

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

7822573056 is a wasteful number, since it uses less digits than its factorization.

7822573056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7822573056 is about 88445.3111023982. The cubic root of 7822573056 is about 1985.1037476203.

The spelling of 7822573056 in words is "seven billion, eight hundred twenty-two million, five hundred seventy-three thousand, fifty-six".