83228640768 has 960 divisors, whose sum is σ = 312292012032. Its totient is φ = 20755906560.

The previous prime is 83228640743. The next prime is 83228640769. The reversal of 83228640768 is 86704682238.

83228640768 is a `hidden beast` number, since 8 + 3 + 228 + 6 + 407 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83228640769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808045005 + ... + 808045107.

Almost surely, 2^83228640768 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 83228640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156146006016).

83228640768 is an abundant number, since it is smaller than the sum of its proper divisors (229063371264).

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

83228640768 is a wasteful number, since it uses less digits than its factorization.

83228640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 83228640768 in words is "eighty-three billion, two hundred twenty-eight million, six hundred forty thousand, seven hundred sixty-eight".