73032007680 has 456 divisors, whose sum is σ = 261069760224. Its totient is φ = 18874368000.

The previous prime is 73032007679. The next prime is 73032007687. The reversal of 73032007680 is 8670023037.

73032007680 is a `hidden beast` number, since 7 + 303 + 200 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73032007687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483655605 + ... + 483655755.

It is an arithmetic number, because the mean of its divisors is an integer number (572521404).

Almost surely, 2^73032007680 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 73032007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130534880112).

73032007680 is an abundant number, since it is smaller than the sum of its proper divisors (188037752544).

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

73032007680 is an equidigital number, since it uses as much as digits as its factorization.

73032007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 73032007680 in words is "seventy-three billion, thirty-two million, seven thousand, six hundred eighty".