75009318144 has 288 divisors, whose sum is σ = 219386280960. Its totient is φ = 22649241600.

The previous prime is 75009318089. The next prime is 75009318187. The reversal of 75009318144 is 44181390057.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 75009318096 and 75009318105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97540992 + ... + 97541760.

It is an arithmetic number, because the mean of its divisors is an integer number (761757920).

Almost surely, 2^75009318144 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 75009318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109693140480).

75009318144 is an abundant number, since it is smaller than the sum of its proper divisors (144376962816).

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

75009318144 is a wasteful number, since it uses less digits than its factorization.

75009318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 75009318144 in words is "seventy-five billion, nine million, three hundred eighteen thousand, one hundred forty-four".