83633603328 has 288 divisors, whose sum is σ = 270341729280. Its totient is φ = 25292943360.

The previous prime is 83633603323. The next prime is 83633603341. The reversal of 83633603328 is 82330633638.

83633603328 is a `hidden beast` number, since 8 + 3 + 6 + 3 + 3 + 603 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (83633603323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58772025 + ... + 58773447.

It is an arithmetic number, because the mean of its divisors is an integer number (938686560).

Almost surely, 2^83633603328 is an apocalyptic number.

83633603328 is a gapful number since it is divisible by the number (88) 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 83633603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135170864640).

83633603328 is an abundant number, since it is smaller than the sum of its proper divisors (186708125952).

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

83633603328 is a wasteful number, since it uses less digits than its factorization.

83633603328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 83633603328 in words is "eighty-three billion, six hundred thirty-three million, six hundred three thousand, three hundred twenty-eight".