71794680100753 has 8 divisors (see below), whose sum is σ = 71928152141096. Its totient is φ = 71661210883200.

The previous prime is 71794680100733. The next prime is 71794680100757. The reversal of 71794680100753 is 35700108649717.

It can be written as a sum of positive squares in 4 ways, for example, as 21504059739009 + 50290620361744 = 4637247^2 + 7091588^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71794680100753 - 2¹⁷ = 71794679969681 is a prime.

It is a super-3 number, since 3×71794680100753³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71794680100757) 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 7 ways as a sum of consecutive naturals, for example, 54170725 + ... + 55480237.

It is an arithmetic number, because the mean of its divisors is an integer number (8991019017637).

Almost surely, 2^{71794680100753} is an apocalyptic number.

It is an amenable number.

71794680100753 is a deficient number, since it is larger than the sum of its proper divisors (133472040343).

71794680100753 is a wasteful number, since it uses less digits than its factorization.

71794680100753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411395.

The product of its (nonzero) digits is 8890560, while the sum is 58.

The spelling of 71794680100753 in words is "seventy-one trillion, seven hundred ninety-four billion, six hundred eighty million, one hundred thousand, seven hundred fifty-three".