75397116600 has 336 divisors, whose sum is σ = 283051805400. Its totient is φ = 18558823680.

The previous prime is 75397116589. The next prime is 75397116601. The reversal of 75397116600 is 661179357.

75397116600 is a `hidden beast` number, since 7 + 5 + 39 + 7 + 1 + 1 + 6 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75397116601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1875511 + ... + 1915289.

Almost surely, 2^75397116600 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 75397116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141525902700).

75397116600 is an abundant number, since it is smaller than the sum of its proper divisors (207654688800).

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

75397116600 is a wasteful number, since it uses less digits than its factorization.

75397116600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39826 (or 39802 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 75397116600 in words is "seventy-five billion, three hundred ninety-seven million, one hundred sixteen thousand, six hundred".