75466080000000 has 1344 divisors, whose sum is σ = 283235708508480. Its totient is φ = 20093184000000.

The previous prime is 75466079999969. The next prime is 75466080000053. The reversal of 75466080000000 is 8066457.

It is a happy number.

75466080000000 is a `hidden beast` number, since 7 + 5 + 46 + 608 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 75466080000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 116639999677 + ... + 116640000323.

It is an arithmetic number, because the mean of its divisors is an integer number (210740854545).

Almost surely, 2^{75466080000000} 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 75466080000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141617854254240).

75466080000000 is an abundant number, since it is smaller than the sum of its proper divisors (207769628508480).

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

75466080000000 is an frugal number, since it uses more digits than its factorization.

75466080000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 75466080000000 its reverse (8066457), we get a palindrome (75466088066457).

The spelling of 75466080000000 in words is "seventy-five trillion, four hundred sixty-six billion, eighty million", and thus it is an aban number.