83686037760 has 720 divisors, whose sum is σ = 333753845040. Its totient is φ = 19880017920.

The previous prime is 83686037741. The next prime is 83686037783. The reversal of 83686037760 is 6773068638.

It can be written as a sum of positive squares in 8 ways, for example, as 77158656 + 83608879104 = 8784^2 + 289152^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 83686037697 and 83686037706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39086290 + ... + 39088430.

It is an arithmetic number, because the mean of its divisors is an integer number (463547007).

Almost surely, 2^83686037760 is an apocalyptic number.

83686037760 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 83686037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166876922520).

83686037760 is an abundant number, since it is smaller than the sum of its proper divisors (250067807280).

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

83686037760 is a wasteful number, since it uses less digits than its factorization.

83686037760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 83686037760 in words is "eighty-three billion, six hundred eighty-six million, thirty-seven thousand, seven hundred sixty".