73018094400 has 504 divisors, whose sum is σ = 282027782400. Its totient is φ = 17849548800.

The previous prime is 73018094399. The next prime is 73018094441. The reversal of 73018094400 is 449081037.

It is a happy number.

73018094400 is a `hidden beast` number, since 7 + 30 + 180 + 9 + 440 + 0 = 666.

It is a super-2 number, since 2×73018094400² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8477296 + ... + 8485904.

Almost surely, 2^73018094400 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 73018094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141013891200).

73018094400 is an abundant number, since it is smaller than the sum of its proper divisors (209009688000).

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

73018094400 is a wasteful number, since it uses less digits than its factorization.

73018094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 7301809 and 4400, that added together give a square (7306209 = 2703²).

The spelling of 73018094400 in words is "seventy-three billion, eighteen million, ninety-four thousand, four hundred".