75456945600000 has 480 divisors, whose sum is σ = 251388717592320. Its totient is φ = 20111662080000.

The previous prime is 75456945599983. The next prime is 75456945600053. The reversal of 75456945600000 is 654965457.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17390397831 + ... + 17390402169.

It is an arithmetic number, because the mean of its divisors is an integer number (523726494984).

Almost surely, 2^{75456945600000} 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 75456945600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125694358796160).

75456945600000 is an abundant number, since it is smaller than the sum of its proper divisors (175931771992320).

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

75456945600000 is an frugal number, since it uses more digits than its factorization.

75456945600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 75456945600000 in words is "seventy-five trillion, four hundred fifty-six billion, nine hundred forty-five million, six hundred thousand".