75081768000 has 224 divisors, whose sum is σ = 260970003840. Its totient is φ = 18967910400.

The previous prime is 75081767987. The next prime is 75081768029. The reversal of 75081768000 is 86718057.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373674 + ... + 538326.

It is an arithmetic number, because the mean of its divisors is an integer number (1165044660).

Almost surely, 2^75081768000 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 75081768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130485001920).

75081768000 is an abundant number, since it is smaller than the sum of its proper divisors (185888235840).

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

75081768000 is a wasteful number, since it uses less digits than its factorization.

75081768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164702 (or 164682 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 75081768000 in words is "seventy-five billion, eighty-one million, seven hundred sixty-eight thousand".