73854945230976 has 2560 divisors, whose sum is σ = 294928381440000. Its totient is φ = 18189659013120.

The previous prime is 73854945230971. The next prime is 73854945230993. The reversal of 73854945230976 is 67903254945837.

It is a happy number.

73854945230976 is a `hidden beast` number, since 7 + 3 + 8 + 5 + 4 + 9 + 4 + 523 + 0 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (73854945230971) 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 319 ways as a sum of consecutive naturals, for example, 41561589000 + ... + 41561590776.

It is an arithmetic number, because the mean of its divisors is an integer number (115206399000).

Almost surely, 2^{73854945230976} 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 73854945230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147464190720000).

73854945230976 is an abundant number, since it is smaller than the sum of its proper divisors (221073436209024).

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

73854945230976 is a wasteful number, since it uses less digits than its factorization.

73854945230976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 73854945230976 in words is "seventy-three trillion, eight hundred fifty-four billion, nine hundred forty-five million, two hundred thirty thousand, nine hundred seventy-six".