75478391330720 has 384 divisors, whose sum is σ = 219894538752000. Its totient is φ = 24432681369600.

The previous prime is 75478391330653. The next prime is 75478391330789. The reversal of 75478391330720 is 2703319387457.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 75478391330720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69211436 + ... + 70293524.

It is an arithmetic number, because the mean of its divisors is an integer number (572642028000).

Almost surely, 2^{75478391330720} is an apocalyptic number.

75478391330720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75478391330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109947269376000).

75478391330720 is an abundant number, since it is smaller than the sum of its proper divisors (144416147421280).

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

75478391330720 is a wasteful number, since it uses less digits than its factorization.

75478391330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082197 (or 1082175 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 59.

The spelling of 75478391330720 in words is "seventy-five trillion, four hundred seventy-eight billion, three hundred ninety-one million, three hundred thirty thousand, seven hundred twenty".