73653338880 has 1296 divisors, whose sum is σ = 308736879360. Its totient is φ = 16751370240.

The previous prime is 73653338833. The next prime is 73653338887. The reversal of 73653338880 is 8883335637.

It is a happy number.

73653338880 is a `hidden beast` number, since 73 + 6 + 533 + 38 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (73653338887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 715080909 + ... + 715081011.

Almost surely, 2^73653338880 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 73653338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154368439680).

73653338880 is an abundant number, since it is smaller than the sum of its proper divisors (235083540480).

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

73653338880 is a wasteful number, since it uses less digits than its factorization.

73653338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

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

The spelling of 73653338880 in words is "seventy-three billion, six hundred fifty-three million, three hundred thirty-eight thousand, eight hundred eighty".