73644793560 has 768 divisors, whose sum is σ = 287645904000. Its totient is φ = 16164126720.

The previous prime is 73644793511. The next prime is 73644793591. The reversal of 73644793560 is 6539744637.

It is a happy number.

73644793560 is a `hidden beast` number, since 7 + 3 + 6 + 4 + 4 + 79 + 3 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73644793497 and 73644793506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136126890 + ... + 136127430.

Almost surely, 2^73644793560 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 73644793560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143822952000).

73644793560 is an abundant number, since it is smaller than the sum of its proper divisors (214001110440).

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

73644793560 is a wasteful number, since it uses less digits than its factorization.

73644793560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 73644793560 in words is "seventy-three billion, six hundred forty-four million, seven hundred ninety-three thousand, five hundred sixty".