73550280960 has 720 divisors, whose sum is σ = 285887747376. Its totient is φ = 17947754496.

The previous prime is 73550280959. The next prime is 73550280967. The reversal of 73550280960 is 6908205537.

It is a happy number.

73550280960 is a `hidden beast` number, since 7 + 3 + 5 + 502 + 80 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1116094464 + 72434186496 = 33408^2 + 269136^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73550280967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 265524342 + ... + 265524618.

Almost surely, 2^73550280960 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 73550280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142943873688).

73550280960 is an abundant number, since it is smaller than the sum of its proper divisors (212337466416).

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

73550280960 is a wasteful number, since it uses less digits than its factorization.

73550280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 73550280960 in words is "seventy-three billion, five hundred fifty million, two hundred eighty thousand, nine hundred sixty".