83742916608 has 384 divisors, whose sum is σ = 270512751600. Its totient is φ = 25735200768.

The previous prime is 83742916573. The next prime is 83742916619. The reversal of 83742916608 is 80661924738.

83742916608 is a `hidden beast` number, since 8 + 3 + 7 + 4 + 29 + 1 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103513708 + ... + 103514516.

Almost surely, 2^83742916608 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 83742916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135256375800).

83742916608 is an abundant number, since it is smaller than the sum of its proper divisors (186769834992).

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

83742916608 is an frugal number, since it uses more digits than its factorization.

83742916608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 83742916608 in words is "eighty-three billion, seven hundred forty-two million, nine hundred sixteen thousand, six hundred eight".