73629204480 has 768 divisors, whose sum is σ = 288546935040. Its totient is φ = 17232297984.

The previous prime is 73629204461. The next prime is 73629204661. The reversal of 73629204480 is 8440292637.

73629204480 is a `hidden beast` number, since 7 + 362 + 9 + 204 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440893357 + ... + 440893523.

It is an arithmetic number, because the mean of its divisors is an integer number (375712155).

Almost surely, 2^73629204480 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 73629204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144273467520).

73629204480 is an abundant number, since it is smaller than the sum of its proper divisors (214917730560).

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

73629204480 is a wasteful number, since it uses less digits than its factorization.

73629204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 73629204480 in words is "seventy-three billion, six hundred twenty-nine million, two hundred four thousand, four hundred eighty".