75668711040 has 384 divisors, whose sum is σ = 284153950080. Its totient is φ = 18443427840.

The previous prime is 75668711039. The next prime is 75668711047. The reversal of 75668711040 is 4011786657.

75668711040 is a `hidden beast` number, since 7 + 566 + 8 + 71 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (75668711047) 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, 7707735 + ... + 7717545.

It is an arithmetic number, because the mean of its divisors is an integer number (739984245).

Almost surely, 2^75668711040 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 75668711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142076975040).

75668711040 is an abundant number, since it is smaller than the sum of its proper divisors (208485239040).

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

75668711040 is a wasteful number, since it uses less digits than its factorization.

75668711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9952 (or 9937 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 75668711040 in words is "seventy-five billion, six hundred sixty-eight million, seven hundred eleven thousand, forty".