73660549248 has 384 divisors, whose sum is σ = 259863327360. Its totient is φ = 19707494400.

The previous prime is 73660549243. The next prime is 73660549267. The reversal of 73660549248 is 84294506637.

73660549248 is a `hidden beast` number, since 7 + 3 + 6 + 605 + 4 + 9 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 73660549194 and 73660549203.

It is not an unprimeable number, because it can be changed into a prime (73660549243) 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 47 ways as a sum of consecutive naturals, for example, 3779208 + ... + 3798648.

It is an arithmetic number, because the mean of its divisors is an integer number (676727415).

Almost surely, 2^73660549248 is an apocalyptic number.

73660549248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73660549248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129931663680).

73660549248 is an abundant number, since it is smaller than the sum of its proper divisors (186202778112).

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

73660549248 is a wasteful number, since it uses less digits than its factorization.

73660549248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19508 (or 19493 counting only the distinct ones).

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

The spelling of 73660549248 in words is "seventy-three billion, six hundred sixty million, five hundred forty-nine thousand, two hundred forty-eight".