73984353108480 has 2560 divisors, whose sum is σ = 288620977075200. Its totient is φ = 17925459148800.

The previous prime is 73984353108389. The next prime is 73984353108499. The reversal of 73984353108480 is 8480135348937.

73984353108480 is a `hidden beast` number, since 7 + 3 + 9 + 8 + 43 + 5 + 3 + 108 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 275034769786 + ... + 275034770054.

It is an arithmetic number, because the mean of its divisors is an integer number (112742569170).

Almost surely, 2^{73984353108480} 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 73984353108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144310488537600).

73984353108480 is an abundant number, since it is smaller than the sum of its proper divisors (214636623966720).

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

73984353108480 is a wasteful number, since it uses less digits than its factorization.

73984353108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 73984353108480 in words is "seventy-three trillion, nine hundred eighty-four billion, three hundred fifty-three million, one hundred eight thousand, four hundred eighty".