75414044160 has 480 divisors, whose sum is σ = 321461300160. Its totient is φ = 15911092224.

The previous prime is 75414044141. The next prime is 75414044177. The reversal of 75414044160 is 6144041457.

It is a happy number.

75414044160 is a `hidden beast` number, since 75 + 4 + 140 + 441 + 6 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078656 + ... + 2114624.

It is an arithmetic number, because the mean of its divisors is an integer number (669711042).

Almost surely, 2^75414044160 is an apocalyptic number.

75414044160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75414044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160730650080).

75414044160 is an abundant number, since it is smaller than the sum of its proper divisors (246047256000).

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

75414044160 is a wasteful number, since it uses less digits than its factorization.

75414044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36018 (or 35999 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 75414044160 in words is "seventy-five billion, four hundred fourteen million, forty-four thousand, one hundred sixty".