75451934208 has 360 divisors, whose sum is σ = 246869647992. Its totient is φ = 20415725568.

The previous prime is 75451934197. The next prime is 75451934249. The reversal of 75451934208 is 80243915457.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27168916 + ... + 27171692.

Almost surely, 2^75451934208 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 75451934208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123434823996).

75451934208 is an abundant number, since it is smaller than the sum of its proper divisors (171417713784).

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

75451934208 is a wasteful number, since it uses less digits than its factorization.

75451934208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 75451934208 in words is "seventy-five billion, four hundred fifty-one million, nine hundred thirty-four thousand, two hundred eight".