82563772608 has 112 divisors (see below), whose sum is σ = 242815872000. Its totient is φ = 27510637824.

The previous prime is 82563772541. The next prime is 82563772631. The reversal of 82563772608 is 80627736528.

82563772608 is a `hidden beast` number, since 8 + 2 + 5 + 6 + 377 + 260 + 8 = 666.

It is a super-2 number, since 2×82563772608² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5381973 + ... + 5397291.

Almost surely, 2^82563772608 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 82563772608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121407936000).

82563772608 is an abundant number, since it is smaller than the sum of its proper divisors (160252099392).

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

82563772608 is a wasteful number, since it uses less digits than its factorization.

82563772608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18459 (or 18443 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 82563772608 in words is "eighty-two billion, five hundred sixty-three million, seven hundred seventy-two thousand, six hundred eight".