83741736960 has 1152 divisors, whose sum is σ = 361297076400. Its totient is φ = 17836277760.

The previous prime is 83741736847. The next prime is 83741736971. The reversal of 83741736960 is 6963714738.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 83741736897 and 83741736906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1372815330 + ... + 1372815390.

Almost surely, 2^83741736960 is an apocalyptic number.

83741736960 is a gapful number since it is divisible by the number (80) 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 83741736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180648538200).

83741736960 is an abundant number, since it is smaller than the sum of its proper divisors (277555339440).

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

83741736960 is a wasteful number, since it uses less digits than its factorization.

83741736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 83741736960 in words is "eighty-three billion, seven hundred forty-one million, seven hundred thirty-six thousand, nine hundred sixty".