73205489664 has 336 divisors, whose sum is σ = 223293736800. Its totient is φ = 23701192704.

The previous prime is 73205489657. The next prime is 73205489681. The reversal of 73205489664 is 46698450237.

73205489664 is a `hidden beast` number, since 7 + 3 + 2 + 0 + 548 + 96 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73205489664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408969127 + ... + 408969305.

Almost surely, 2^73205489664 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 73205489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111646868400).

73205489664 is an abundant number, since it is smaller than the sum of its proper divisors (150088247136).

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

73205489664 is an equidigital number, since it uses as much as digits as its factorization.

73205489664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 73205489664 in words is "seventy-three billion, two hundred five million, four hundred eighty-nine thousand, six hundred sixty-four".