75428205696 has 320 divisors, whose sum is σ = 228598524000. Its totient is φ = 24685461504.

The previous prime is 75428205679. The next prime is 75428205703. The reversal of 75428205696 is 69650282457.

75428205696 is a `hidden beast` number, since 7 + 5 + 428 + 205 + 6 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180019375 + ... + 180019793.

Almost surely, 2^75428205696 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 75428205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114299262000).

75428205696 is an abundant number, since it is smaller than the sum of its proper divisors (153170318304).

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

75428205696 is a wasteful number, since it uses less digits than its factorization.

75428205696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 75428205696 in words is "seventy-five billion, four hundred twenty-eight million, two hundred five thousand, six hundred ninety-six".