75034791936 has 364 divisors, whose sum is σ = 242405010988. Its totient is φ = 23075684352.

The previous prime is 75034791899. The next prime is 75034791971. The reversal of 75034791936 is 63919743057.

It is a happy number.

75034791936 is a `hidden beast` number, since 7 + 503 + 47 + 9 + 1 + 93 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29859840000 + 45174951936 = 172800^2 + 212544^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 38816826 + ... + 38818758.

Almost surely, 2^75034791936 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 75034791936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121202505494).

75034791936 is an abundant number, since it is smaller than the sum of its proper divisors (167370219052).

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

75034791936 is an equidigital number, since it uses as much as digits as its factorization.

75034791936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 75034791936 in words is "seventy-five billion, thirty-four million, seven hundred ninety-one thousand, nine hundred thirty-six".