75045234067200 has 270 divisors, whose sum is σ = 277476425327024. Its totient is φ = 20012062279680.

The previous prime is 75045234067157. The next prime is 75045234067249. The reversal of 75045234067200 is 276043254057.

75045234067200 is a `hidden beast` number, since 7 + 5 + 0 + 4 + 523 + 40 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-3 number, since 3×75045234067200³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 71863192 + ... + 72899991.

Almost surely, 2^{75045234067200} is an apocalyptic number.

It is an amenable number.

75045234067200 is an abundant number, since it is smaller than the sum of its proper divisors (202431191259824).

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

75045234067200 is a wasteful number, since it uses less digits than its factorization.

75045234067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144763221 (or 144763193 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 75045234067200 in words is "seventy-five trillion, forty-five billion, two hundred thirty-four million, sixty-seven thousand, two hundred".