75794224209408 has 960 divisors, whose sum is σ = 248353616047680. Its totient is φ = 22108490956800.

The previous prime is 75794224209377. The next prime is 75794224209443. The reversal of 75794224209408 is 80490242249757.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69092273116 + ... + 69092274212.

It is an arithmetic number, because the mean of its divisors is an integer number (258701683383).

Almost surely, 2^{75794224209408} 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 75794224209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124176808023840).

75794224209408 is an abundant number, since it is smaller than the sum of its proper divisors (172559391838272).

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

75794224209408 is a wasteful number, since it uses less digits than its factorization.

75794224209408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 75794224209408 in words is "seventy-five trillion, seven hundred ninety-four billion, two hundred twenty-four million, two hundred nine thousand, four hundred eight".