75068928000 has 624 divisors, whose sum is σ = 295416212832. Its totient is φ = 18186240000.

The previous prime is 75068927993. The next prime is 75068928007. The reversal of 75068928000 is 82986057.

It is an interprime number because it is at equal distance from previous prime (75068927993) and next prime (75068928007).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75068928007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50687260 + ... + 50688740.

It is an arithmetic number, because the mean of its divisors is an integer number (473423418).

Almost surely, 2^75068928000 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 75068928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147708106416).

75068928000 is an abundant number, since it is smaller than the sum of its proper divisors (220347284832).

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

75068928000 is a wasteful number, since it uses less digits than its factorization.

75068928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 75068928000 in words is "seventy-five billion, sixty-eight million, nine hundred twenty-eight thousand".