75289628000 has 192 divisors, whose sum is σ = 196151155200. Its totient is φ = 28321574400.

The previous prime is 75289627979. The next prime is 75289628003. The reversal of 75289628000 is 82698257.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75289628003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10560437 + ... + 10567563.

It is an arithmetic number, because the mean of its divisors is an integer number (1021620600).

Almost surely, 2^75289628000 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 75289628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98075577600).

75289628000 is an abundant number, since it is smaller than the sum of its proper divisors (120861527200).

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

75289628000 is a wasteful number, since it uses less digits than its factorization.

75289628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 75289628000 in words is "seventy-five billion, two hundred eighty-nine million, six hundred twenty-eight thousand".