73563152832000 has 1920 divisors, whose sum is σ = 297799710848640. Its totient is φ = 18099442483200.

The previous prime is 73563152831977. The next prime is 73563152832041. The reversal of 73563152832000 is 23825136537.

73563152832000 is a `hidden beast` number, since 7 + 3 + 5 + 6 + 315 + 2 + 8 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34167742924 + ... + 34167745076.

It is an arithmetic number, because the mean of its divisors is an integer number (155104016067).

Almost surely, 2^{73563152832000} 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 73563152832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148899855424320).

73563152832000 is an abundant number, since it is smaller than the sum of its proper divisors (224236558016640).

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

73563152832000 is an frugal number, since it uses more digits than its factorization.

73563152832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

Adding to 73563152832000 its reverse (23825136537), we get a palindrome (73586977968537).

The spelling of 73563152832000 in words is "seventy-three trillion, five hundred sixty-three billion, one hundred fifty-two million, eight hundred thirty-two thousand".