73446976800 has 720 divisors, whose sum is σ = 288515486952. Its totient is φ = 18114969600.

The previous prime is 73446976781. The next prime is 73446976877. The reversal of 73446976800 is 867964437.

It is a happy number.

73446976800 is a `hidden beast` number, since 7 + 34 + 469 + 76 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 12688670736 + 60758306064 = 112644^2 + 246492^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 67197054 + ... + 67198146.

Almost surely, 2^73446976800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73446976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144257743476).

73446976800 is an abundant number, since it is smaller than the sum of its proper divisors (215068510152).

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

73446976800 is a wasteful number, since it uses less digits than its factorization.

73446976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 73446976800 in words is "seventy-three billion, four hundred forty-six million, nine hundred seventy-six thousand, eight hundred".