73285378560 has 560 divisors, whose sum is σ = 266635898496. Its totient is φ = 19307372544.

The previous prime is 73285378519. The next prime is 73285378577. The reversal of 73285378560 is 6587358237.

73285378560 is a `hidden beast` number, since 7 + 3 + 2 + 8 + 5 + 3 + 78 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 73285378497 and 73285378506.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 199687497 + ... + 199687863.

Almost surely, 2^73285378560 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 73285378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133317949248).

73285378560 is an abundant number, since it is smaller than the sum of its proper divisors (193350519936).

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

73285378560 is an equidigital number, since it uses as much as digits as its factorization.

73285378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 73285378560 in words is "seventy-three billion, two hundred eighty-five million, three hundred seventy-eight thousand, five hundred sixty".