75749608704 has 864 divisors, whose sum is σ = 271834601472. Its totient is φ = 18288230400.

The previous prime is 75749608703. The next prime is 75749608733. The reversal of 75749608704 is 40780694757.

It is a super-2 number, since 2×75749608704² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75749608703) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 912645847 + ... + 912645929.

Almost surely, 2^75749608704 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 75749608704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135917300736).

75749608704 is an abundant number, since it is smaller than the sum of its proper divisors (196084992768).

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

75749608704 is a wasteful number, since it uses less digits than its factorization.

75749608704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 75749608704 in words is "seventy-five billion, seven hundred forty-nine million, six hundred eight thousand, seven hundred four".