75713045760 has 432 divisors, whose sum is σ = 296371333440. Its totient is φ = 18353848320.

The previous prime is 75713045701. The next prime is 75713045777. The reversal of 75713045760 is 6754031757.

75713045760 is a `hidden beast` number, since 7 + 5 + 7 + 130 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×75713045760³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3410376 + ... + 3432504.

Almost surely, 2^75713045760 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 75713045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148185666720).

75713045760 is an abundant number, since it is smaller than the sum of its proper divisors (220658287680).

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

75713045760 is a wasteful number, since it uses less digits than its factorization.

75713045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22176 (or 22150 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 75713045760 in words is "seventy-five billion, seven hundred thirteen million, forty-five thousand, seven hundred sixty".