75065680800 has 720 divisors, whose sum is σ = 304424078112. Its totient is φ = 17845401600.

The previous prime is 75065680799. The next prime is 75065680817. The reversal of 75065680800 is 808656057.

75065680800 is a `hidden beast` number, since 7 + 5 + 0 + 6 + 568 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37777407 + ... + 37779393.

Almost surely, 2^75065680800 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 75065680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152212039056).

75065680800 is an abundant number, since it is smaller than the sum of its proper divisors (229358397312).

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

75065680800 is a wasteful number, since it uses less digits than its factorization.

75065680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 75065680800 in words is "seventy-five billion, sixty-five million, six hundred eighty thousand, eight hundred".