75408081408 has 400 divisors, whose sum is σ = 250829910144. Its totient is φ = 22358384640.

The previous prime is 75408081389. The next prime is 75408081431. The reversal of 75408081408 is 80418080457.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21439266 + ... + 21442782.

Almost surely, 2^75408081408 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 75408081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125414955072).

75408081408 is an abundant number, since it is smaller than the sum of its proper divisors (175421828736).

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

75408081408 is a wasteful number, since it uses less digits than its factorization.

75408081408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 75408081408 in words is "seventy-five billion, four hundred eight million, eighty-one thousand, four hundred eight".