75133474560 has 360 divisors, whose sum is σ = 272274045120. Its totient is φ = 19779821568.

The previous prime is 75133474513. The next prime is 75133474571. The reversal of 75133474560 is 6547433157.

75133474560 is a `hidden beast` number, since 7 + 5 + 13 + 3 + 4 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8186134 + ... + 8195306.

It is an arithmetic number, because the mean of its divisors is an integer number (756316792).

Almost surely, 2^75133474560 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 75133474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136137022560).

75133474560 is an abundant number, since it is smaller than the sum of its proper divisors (197140570560).

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

75133474560 is an equidigital number, since it uses as much as digits as its factorization.

75133474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 75133474560 in words is "seventy-five billion, one hundred thirty-three million, four hundred seventy-four thousand, five hundred sixty".