73405975680 has 512 divisors, whose sum is σ = 272985292800. Its totient is φ = 18606551040.

The previous prime is 73405975649. The next prime is 73405975697. The reversal of 73405975680 is 8657950437.

73405975680 is a `hidden beast` number, since 7 + 3 + 40 + 597 + 5 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75910557 + ... + 75911523.

It is an arithmetic number, because the mean of its divisors is an integer number (533174400).

Almost surely, 2^73405975680 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 73405975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136492646400).

73405975680 is an abundant number, since it is smaller than the sum of its proper divisors (199579317120).

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

73405975680 is a wasteful number, since it uses less digits than its factorization.

73405975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 73405975680 in words is "seventy-three billion, four hundred five million, nine hundred seventy-five thousand, six hundred eighty".