75348320256 has 784 divisors, whose sum is σ = 261293384448. Its totient is φ = 21499084800.

The previous prime is 75348320239. The next prime is 75348320371. The reversal of 75348320256 is 65202384357.

75348320256 is a `hidden beast` number, since 75 + 3 + 4 + 8 + 320 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2036441070 + ... + 2036441106.

Almost surely, 2^75348320256 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 75348320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130646692224).

75348320256 is an abundant number, since it is smaller than the sum of its proper divisors (185945064192).

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

75348320256 is an equidigital number, since it uses as much as digits as its factorization.

75348320256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 75348320256 in words is "seventy-five billion, three hundred forty-eight million, three hundred twenty thousand, two hundred fifty-six".