75447513600000 has 624 divisors, whose sum is σ = 260119272551040. Its totient is φ = 19425280000000.

The previous prime is 75447513599963. The next prime is 75447513600007. The reversal of 75447513600000 is 631574457.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75447513600007) 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, 1113566125 + ... + 1113633875.

Almost surely, 2^{75447513600000} 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 75447513600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130059636275520).

75447513600000 is an abundant number, since it is smaller than the sum of its proper divisors (184671758951040).

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

75447513600000 is an frugal number, since it uses more digits than its factorization.

75447513600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67832 (or 67790 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 75447513600000 in words is "seventy-five trillion, four hundred forty-seven billion, five hundred thirteen million, six hundred thousand".