75657227040 has 480 divisors, whose sum is σ = 290385439344. Its totient is φ = 18473287680.

The previous prime is 75657227033. The next prime is 75657227059. The reversal of 75657227040 is 4072275657.

75657227040 is a `hidden beast` number, since 7 + 5 + 6 + 572 + 2 + 70 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 70834757904 + 4822469136 = 266148^2 + 69444^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8147200 + ... + 8156480.

Almost surely, 2^75657227040 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 75657227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145192719672).

75657227040 is an abundant number, since it is smaller than the sum of its proper divisors (214728212304).

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

75657227040 is a wasteful number, since it uses less digits than its factorization.

75657227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9362 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 75657227040 in words is "seventy-five billion, six hundred fifty-seven million, two hundred twenty-seven thousand, forty".