73369900800 has 648 divisors, whose sum is σ = 301314575744. Its totient is φ = 16685015040.

The previous prime is 73369900673. The next prime is 73369900817. The reversal of 73369900800 is 800996337.

It is a happy number.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114105279 + ... + 114105921.

Almost surely, 2^73369900800 is an apocalyptic number.

73369900800 is a gapful number since it is divisible by the number (70) 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 73369900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150657287872).

73369900800 is an abundant number, since it is smaller than the sum of its proper divisors (227944674944).

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

73369900800 is a wasteful number, since it uses less digits than its factorization.

73369900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

It can be divided in two parts, 73369 and 900800, that added together give a square (974169 = 987²).

The spelling of 73369900800 in words is "seventy-three billion, three hundred sixty-nine million, nine hundred thousand, eight hundred".