83722320000 has 1080 divisors, whose sum is σ = 341928622035. Its totient is φ = 19641600000.

The previous prime is 83722319999. The next prime is 83722320049. The reversal of 83722320000 is 2322738.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 19356600384 + 64365719616 = 139128^2 + 253704^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=204600.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2700719985 + ... + 2700720015.

Almost surely, 2^83722320000 is an apocalyptic number.

83722320000 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 83722320000

83722320000 is an abundant number, since it is smaller than the sum of its proper divisors (258206302035).

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

83722320000 is a wasteful number, since it uses less digits than its factorization.

83722320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 83722320000 its reverse (2322738), we get a palindrome (83724642738).

The spelling of 83722320000 in words is "eighty-three billion, seven hundred twenty-two million, three hundred twenty thousand".