83699320320 has 720 divisors, whose sum is σ = 364224500640. Its totient is φ = 17388011520.

The previous prime is 83699320291. The next prime is 83699320333. The reversal of 83699320320 is 2302399638.

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 (45).

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 71 ways as a sum of consecutive naturals, for example, 19512736 + ... + 19517024.

It is an arithmetic number, because the mean of its divisors is an integer number (505867362).

Almost surely, 2^83699320320 is an apocalyptic number.

83699320320 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 83699320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182112250320).

83699320320 is an abundant number, since it is smaller than the sum of its proper divisors (280525180320).

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

83699320320 is a wasteful number, since it uses less digits than its factorization.

83699320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

It can be divided in two parts, 836 and 99320320, that added together give a square (99321156 = 9966²).

The spelling of 83699320320 in words is "eighty-three billion, six hundred ninety-nine million, three hundred twenty thousand, three hundred twenty".