73626805440 has 448 divisors, whose sum is σ = 277392384000. Its totient is φ = 18343342080.

The previous prime is 73626805433. The next prime is 73626805489. The reversal of 73626805440 is 4450862637.

73626805440 is a `hidden beast` number, since 7 + 3 + 6 + 26 + 80 + 544 + 0 = 666.

It is a super-2 number, since 2×73626805440² (a number of 23 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 7762621 + ... + 7772099.

Almost surely, 2^73626805440 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 73626805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138696192000).

73626805440 is an abundant number, since it is smaller than the sum of its proper divisors (203765578560).

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

73626805440 is a wasteful number, since it uses less digits than its factorization.

73626805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 73626805440 in words is "seventy-three billion, six hundred twenty-six million, eight hundred five thousand, four hundred forty".