73404378144 has 288 divisors, whose sum is σ = 221815238400. Its totient is φ = 23615400960.

The previous prime is 73404378143. The next prime is 73404378161. The reversal of 73404378144 is 44187340437.

73404378144 is a `hidden beast` number, since 73 + 4 + 0 + 437 + 8 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 73404378144.

It is not an unprimeable number, because it can be changed into a prime (73404378143) by changing a digit.

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, 270864729 + ... + 270864999.

It is an arithmetic number, because the mean of its divisors is an integer number (770191800).

Almost surely, 2^73404378144 is an apocalyptic number.

73404378144 is a gapful number since it is divisible by the number (74) 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 73404378144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110907619200).

73404378144 is an abundant number, since it is smaller than the sum of its proper divisors (148410860256).

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

73404378144 is a wasteful number, since it uses less digits than its factorization.

73404378144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 73404378144 in words is "seventy-three billion, four hundred four million, three hundred seventy-eight thousand, one hundred forty-four".