73409716800 has 1008 divisors, whose sum is σ = 318026450560. Its totient is φ = 16325867520.

The previous prime is 73409716769. The next prime is 73409716819. The reversal of 73409716800 is 861790437.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 1984046382 + ... + 1984046418.

Almost surely, 2^73409716800 is an apocalyptic number.

73409716800 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 73409716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159013225280).

73409716800 is an abundant number, since it is smaller than the sum of its proper divisors (244616733760).

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

73409716800 is an frugal number, since it uses more digits than its factorization.

73409716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 73409716800 in words is "seventy-three billion, four hundred nine million, seven hundred sixteen thousand, eight hundred".