75545440320 has 336 divisors, whose sum is σ = 279555122880. Its totient is φ = 17234251776.

The previous prime is 75545440319. The next prime is 75545440337. The reversal of 75545440320 is 2304454557.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×75545440320² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 30998142 + ... + 31000578.

Almost surely, 2^75545440320 is an apocalyptic number.

75545440320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75545440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139777561440).

75545440320 is an abundant number, since it is smaller than the sum of its proper divisors (204009682560).

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

75545440320 is a wasteful number, since it uses less digits than its factorization.

75545440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 39.

Adding to 75545440320 its reverse (2304454557), we get a palindrome (77849894877).

The spelling of 75545440320 in words is "seventy-five billion, five hundred forty-five million, four hundred forty thousand, three hundred twenty".