75138040224 has 288 divisors, whose sum is σ = 244157921280. Its totient is φ = 21727512576.

The previous prime is 75138040193. The next prime is 75138040231. The reversal of 75138040224 is 42204083157.

It is a happy number.

75138040224 is a `hidden beast` number, since 7 + 51 + 380 + 4 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9030114 + ... + 9038430.

It is an arithmetic number, because the mean of its divisors is an integer number (847770560).

Almost surely, 2^75138040224 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 75138040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122078960640).

75138040224 is an abundant number, since it is smaller than the sum of its proper divisors (169019881056).

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

75138040224 is a wasteful number, since it uses less digits than its factorization.

75138040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492 (or 8481 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 75138040224 in words is "seventy-five billion, one hundred thirty-eight million, forty thousand, two hundred twenty-four".