75187475640 has 768 divisors, whose sum is σ = 287826739200. Its totient is φ = 17551987200.

The previous prime is 75187475603. The next prime is 75187475651. The reversal of 75187475640 is 4657478157.

75187475640 is a `hidden beast` number, since 7 + 5 + 1 + 8 + 74 + 7 + 564 + 0 = 666.

It is a super-3 number, since 3×75187475640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131676555 + ... + 131677125.

It is an arithmetic number, because the mean of its divisors is an integer number (374774400).

Almost surely, 2^75187475640 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 75187475640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143913369600).

75187475640 is an abundant number, since it is smaller than the sum of its proper divisors (212639263560).

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

75187475640 is a wasteful number, since it uses less digits than its factorization.

75187475640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 75187475640 in words is "seventy-five billion, one hundred eighty-seven million, four hundred seventy-five thousand, six hundred forty".