83773440000 has 750 divisors, whose sum is σ = 315844455234. Its totient is φ = 22118400000.

The previous prime is 83773439983. The next prime is 83773440061. The reversal of 83773440000 is 4437738.

It can be written as a sum of positive squares in 5 ways, for example, as 11726290944 + 72047149056 = 108288^2 + 268416^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 829439950 + ... + 829440050.

Almost surely, 2^83773440000 is an apocalyptic number.

83773440000 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 83773440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157922227617).

83773440000 is an abundant number, since it is smaller than the sum of its proper divisors (232071015234).

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

83773440000 is an frugal number, since it uses more digits than its factorization.

83773440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 83773440000 its reverse (4437738), we get a palindrome (83777877738).

The spelling of 83773440000 in words is "eighty-three billion, seven hundred seventy-three million, four hundred forty thousand".