83363649600 has 672 divisors, whose sum is σ = 342624070656. Its totient is φ = 17239449600.

The previous prime is 83363649583. The next prime is 83363649601. The reversal of 83363649600 is 694636338.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83363649600.

It is not an unprimeable number, because it can be changed into a prime (83363649601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104596402 + ... + 104597198.

It is an arithmetic number, because the mean of its divisors is an integer number (509857248).

Almost surely, 2^83363649600 is an apocalyptic number.

83363649600 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 83363649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171312035328).

83363649600 is an abundant number, since it is smaller than the sum of its proper divisors (259260421056).

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

83363649600 is a wasteful number, since it uses less digits than its factorization.

83363649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 83363649600 in words is "eighty-three billion, three hundred sixty-three million, six hundred forty-nine thousand, six hundred".