73409422800 has 240 divisors, whose sum is σ = 272152739840. Its totient is φ = 16566750720.

The previous prime is 73409422783. The next prime is 73409422817. The reversal of 73409422800 is 822490437.

It is an interprime number because it is at equal distance from previous prime (73409422783) and next prime (73409422817).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608289 + ... + 718911.

Almost surely, 2^73409422800 is an apocalyptic number.

73409422800 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 73409422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136076369920).

73409422800 is an abundant number, since it is smaller than the sum of its proper divisors (198743317040).

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

73409422800 is a wasteful number, since it uses less digits than its factorization.

73409422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110730 (or 110719 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 73409422800 in words is "seventy-three billion, four hundred nine million, four hundred twenty-two thousand, eight hundred".