75671133752340 has 288 divisors, whose sum is σ = 281259487138560. Its totient is φ = 16544247439104.

The previous prime is 75671133752323. The next prime is 75671133752353. The reversal of 75671133752340 is 4325733117657.

75671133752340 is a `hidden beast` number, since 7 + 5 + 6 + 71 + 1 + 3 + 3 + 7 + 523 + 40 = 666.

It is a super-2 number, since 2×75671133752340² (a number of 29 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16921759 + ... + 20920998.

Almost surely, 2^{75671133752340} is an apocalyptic number.

75671133752340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75671133752340 is an abundant number, since it is smaller than the sum of its proper divisors (205588353386220).

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

75671133752340 is a wasteful number, since it uses less digits than its factorization.

75671133752340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37842828 (or 37842797 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

Adding to 75671133752340 its reverse (4325733117657), we get a palindrome (79996866869997).

The spelling of 75671133752340 in words is "seventy-five trillion, six hundred seventy-one billion, one hundred thirty-three million, seven hundred fifty-two thousand, three hundred forty".