83324242800 has 360 divisors, whose sum is σ = 300887408640. Its totient is φ = 21330086400.

The previous prime is 83324242789. The next prime is 83324242811. The reversal of 83324242800 is 824242338.

It is a happy number.

83324242800 is a `hidden beast` number, since 8 + 332 + 4 + 242 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83324242789) and next prime (83324242811).

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 14170261 + ... + 14176139.

Almost surely, 2^83324242800 is an apocalyptic number.

83324242800 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 83324242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150443704320).

83324242800 is an abundant number, since it is smaller than the sum of its proper divisors (217563165840).

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

83324242800 is a wasteful number, since it uses less digits than its factorization.

83324242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6061 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 83324242800 in words is "eighty-three billion, three hundred twenty-four million, two hundred forty-two thousand, eight hundred".