75041406720 has 540 divisors, whose sum is σ = 312371695944. Its totient is φ = 17151160320.

The previous prime is 75041406719. The next prime is 75041406731. The reversal of 75041406720 is 2760414057.

75041406720 is a `hidden beast` number, since 7 + 504 + 140 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-3 number, since 3×75041406720³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5072935 + ... + 5087705.

Almost surely, 2^75041406720 is an apocalyptic number.

75041406720 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 75041406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156185847972).

75041406720 is an abundant number, since it is smaller than the sum of its proper divisors (237330289224).

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

75041406720 is a wasteful number, since it uses less digits than its factorization.

75041406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14818 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 75041406720 in words is "seventy-five billion, forty-one million, four hundred six thousand, seven hundred twenty".