75376407168 has 512 divisors, whose sum is σ = 244255564800. Its totient is φ = 23075684352.

The previous prime is 75376407097. The next prime is 75376407181. The reversal of 75376407168 is 86170467357.

75376407168 is a `hidden beast` number, since 7 + 5 + 3 + 76 + 407 + 168 = 666.

It is a super-2 number, since 2×75376407168² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 223668696 + ... + 223669032.

It is an arithmetic number, because the mean of its divisors is an integer number (477061650).

Almost surely, 2^75376407168 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 75376407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122127782400).

75376407168 is an abundant number, since it is smaller than the sum of its proper divisors (168879157632).

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

75376407168 is an equidigital number, since it uses as much as digits as its factorization.

75376407168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 75376407168 in words is "seventy-five billion, three hundred seventy-six million, four hundred seven thousand, one hundred sixty-eight".