73447064928000 has 2016 divisors, whose sum is σ = 292462660264320. Its totient is φ = 18306868838400.

The previous prime is 73447064927993. The next prime is 73447064928037. The reversal of 73447064928000 is 82946074437.

73447064928000 is a `hidden beast` number, since 7 + 3 + 4 + 4 + 70 + 6 + 492 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 66228191446 + ... + 66228192554.

It is an arithmetic number, because the mean of its divisors is an integer number (145070764020).

Almost surely, 2^{73447064928000} 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 73447064928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146231330132160).

73447064928000 is an abundant number, since it is smaller than the sum of its proper divisors (219015595336320).

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

73447064928000 is a wasteful number, since it uses less digits than its factorization.

73447064928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 73447064928000 in words is "seventy-three trillion, four hundred forty-seven billion, sixty-four million, nine hundred twenty-eight thousand".