75242075040 has 768 divisors, whose sum is σ = 296036052480. Its totient is φ = 17694720000.

The previous prime is 75242075033. The next prime is 75242075059. The reversal of 75242075040 is 4057024257.

It is a happy number.

75242075040 is a `hidden beast` number, since 7 + 524 + 20 + 75 + 0 + 40 = 666.

It is a super-2 number, since 2×75242075040² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 75242074986 and 75242075004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292770592 + ... + 292770848.

It is an arithmetic number, because the mean of its divisors is an integer number (385463610).

Almost surely, 2^75242075040 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 75242075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148018026240).

75242075040 is an abundant number, since it is smaller than the sum of its proper divisors (220793977440).

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

75242075040 is a wasteful number, since it uses less digits than its factorization.

75242075040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

Adding to 75242075040 its reverse (4057024257), we get a palindrome (79299099297).

The spelling of 75242075040 in words is "seventy-five billion, two hundred forty-two million, seventy-five thousand, forty".