755451740160 has 1440 divisors, whose sum is σ = 3039435463680. Its totient is φ = 177768235008.

The previous prime is 755451740059. The next prime is 755451740161. The reversal of 755451740160 is 61047154557.

755451740160 is a `hidden beast` number, since 7 + 5 + 545 + 1 + 7 + 40 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (755451740161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16073441257 + ... + 16073441303.

It is an arithmetic number, because the mean of its divisors is an integer number (2110719072).

Almost surely, 2^755451740160 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 755451740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519717731840).

755451740160 is an abundant number, since it is smaller than the sum of its proper divisors (2283983723520).

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

755451740160 is a wasteful number, since it uses less digits than its factorization.

755451740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 755451740160 in words is "seven hundred fifty-five billion, four hundred fifty-one million, seven hundred forty thousand, one hundred sixty".