75463210400 has 108 divisors (see below), whose sum is σ = 184991976162. Its totient is φ = 30060011520.

The previous prime is 75463210363. The next prime is 75463210411. The reversal of 75463210400 is 401236457.

It can be written as a sum of positive squares in 9 ways, for example, as 3465441424 + 71997768976 = 58868^2 + 268324^2 .

It is a super-2 number, since 2×75463210400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99686822 + ... + 99687578.

Almost surely, 2^75463210400 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 75463210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92495988081).

75463210400 is an abundant number, since it is smaller than the sum of its proper divisors (109528765762).

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

75463210400 is an equidigital number, since it uses as much as digits as its factorization.

75463210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 75463210400 its reverse (401236457), we get a palindrome (75864446857).

The spelling of 75463210400 in words is "seventy-five billion, four hundred sixty-three million, two hundred ten thousand, four hundred".