75875906304 has 504 divisors, whose sum is σ = 258654235392. Its totient is φ = 21979330560.

The previous prime is 75875906299. The next prime is 75875906317. The reversal of 75875906304 is 40360957857.

75875906304 is a `hidden beast` number, since 7 + 587 + 59 + 0 + 6 + 3 + 0 + 4 = 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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 47215069 + ... + 47216675.

It is an arithmetic number, because the mean of its divisors is an integer number (513202848).

Almost surely, 2^75875906304 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 75875906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129327117696).

75875906304 is an abundant number, since it is smaller than the sum of its proper divisors (182778329088).

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

75875906304 is a wasteful number, since it uses less digits than its factorization.

75875906304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 75875906304 in words is "seventy-five billion, eight hundred seventy-five million, nine hundred six thousand, three hundred four".