73334404440720 has 320 divisors, whose sum is σ = 265903735238400. Its totient is φ = 18525686722560.

The previous prime is 73334404440641. The next prime is 73334404440751. The reversal of 73334404440720 is 2704440443337.

73334404440720 is a `hidden beast` number, since 73 + 3 + 34 + 40 + 4 + 440 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1379450940 + ... + 1379504100.

It is an arithmetic number, because the mean of its divisors is an integer number (830949172620).

Almost surely, 2^{73334404440720} 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 73334404440720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132951867619200).

73334404440720 is an abundant number, since it is smaller than the sum of its proper divisors (192569330797680).

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

73334404440720 is a wasteful number, since it uses less digits than its factorization.

73334404440720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86815 (or 86803 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 45.

The spelling of 73334404440720 in words is "seventy-three trillion, three hundred thirty-four billion, four hundred four million, four hundred forty thousand, seven hundred twenty".