75741249024 has 480 divisors, whose sum is σ = 257319691200. Its totient is φ = 21437595648.

The previous prime is 75741248981. The next prime is 75741249037. The reversal of 75741249024 is 42094214757.

75741249024 is a `hidden beast` number, since 7 + 574 + 12 + 49 + 0 + 24 = 666.

It is a congruent number.

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, 273433974 + ... + 273434250.

It is an arithmetic number, because the mean of its divisors is an integer number (536082690).

Almost surely, 2^75741249024 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 75741249024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128659845600).

75741249024 is an abundant number, since it is smaller than the sum of its proper divisors (181578442176).

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

75741249024 is a wasteful number, since it uses less digits than its factorization.

75741249024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 75741249024 in words is "seventy-five billion, seven hundred forty-one million, two hundred forty-nine thousand, twenty-four".