83630506752 has 252 divisors, whose sum is σ = 269547667984. Its totient is φ = 25731717120.

The previous prime is 83630506727. The next prime is 83630506753. The reversal of 83630506752 is 25760503638.

83630506752 is a `hidden beast` number, since 8 + 3 + 630 + 5 + 0 + 6 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83630506698 and 83630506707.

It is not an unprimeable number, because it can be changed into a prime (83630506753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2408877 + ... + 2443347.

Almost surely, 2^83630506752 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 83630506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134773833992).

83630506752 is an abundant number, since it is smaller than the sum of its proper divisors (185917161232).

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

83630506752 is an equidigital number, since it uses as much as digits as its factorization.

83630506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34518 (or 34489 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 83630506752 in words is "eighty-three billion, six hundred thirty million, five hundred six thousand, seven hundred fifty-two".