75064046057 has 144 divisors (see below), whose sum is σ = 109490451840. Its totient is φ = 50171996160.

The previous prime is 75064046041. The next prime is 75064046069.

75064046057 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75064046057 - 2⁴ = 75064046041 is a prime.

It is a super-2 number, since 2×75064046057² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75064045999 and 75064046017.

It is not an unprimeable number, because it can be changed into a prime (75064043057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 265243838 + ... + 265244120.

It is an arithmetic number, because the mean of its divisors is an integer number (760350360).

Almost surely, 2^75064046057 is an apocalyptic number.

75064046057 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

75064046057 is a deficient number, since it is larger than the sum of its proper divisors (34426405783).

75064046057 is a wasteful number, since it uses less digits than its factorization.

75064046057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

It can be divided in two parts, 750640 and 46057, that added together give a palindrome (796697).

The spelling of 75064046057 in words is "seventy-five billion, sixty-four million, forty-six thousand, fifty-seven".