73611440640 has 120 divisors (see below), whose sum is σ = 254937201948. Its totient is φ = 19629711360.

The previous prime is 73611440611. The next prime is 73611440677. The reversal of 73611440640 is 4604411637.

73611440640 is a `hidden beast` number, since 7 + 3 + 6 + 1 + 1 + 4 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63479810304 + 10131630336 = 251952^2 + 100656^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73611440595 and 73611440604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1574431 + ... + 1620510.

Almost surely, 2^73611440640 is an apocalyptic number.

It is an amenable number.

73611440640 is an abundant number, since it is smaller than the sum of its proper divisors (181325761308).

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

73611440640 is a wasteful number, since it uses less digits than its factorization.

73611440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194970 (or 3194951 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 73611440640 in words is "seventy-three billion, six hundred eleven million, four hundred forty thousand, six hundred forty".