73413643680 has 576 divisors, whose sum is σ = 281268868608. Its totient is φ = 17975623680.

The previous prime is 73413643679. The next prime is 73413643687. The reversal of 73413643680 is 8634631437.

73413643680 is a `hidden beast` number, since 7 + 3 + 4 + 136 + 436 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (73413643687) 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 95 ways as a sum of consecutive naturals, for example, 170333065 + ... + 170333495.

It is an arithmetic number, because the mean of its divisors is an integer number (488314008).

Almost surely, 2^73413643680 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 73413643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140634434304).

73413643680 is an abundant number, since it is smaller than the sum of its proper divisors (207855224928).

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

73413643680 is a wasteful number, since it uses less digits than its factorization.

73413643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 73413643680 in words is "seventy-three billion, four hundred thirteen million, six hundred forty-three thousand, six hundred eighty".