75869454816 has 120 divisors (see below), whose sum is σ = 225431015040. Its totient is φ = 25029015552.

The previous prime is 75869454799. The next prime is 75869454823. The reversal of 75869454816 is 61845496857.

75869454816 is a `hidden beast` number, since 7 + 5 + 86 + 9 + 4 + 548 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100545 + ... + 402303.

It is an arithmetic number, because the mean of its divisors is an integer number (1878591792).

Almost surely, 2^75869454816 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 75869454816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112715507520).

75869454816 is an abundant number, since it is smaller than the sum of its proper divisors (149561560224).

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

75869454816 is a wasteful number, since it uses less digits than its factorization.

75869454816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301878 (or 301861 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 75869454816 in words is "seventy-five billion, eight hundred sixty-nine million, four hundred fifty-four thousand, eight hundred sixteen".