8638400072753 has 8 divisors (see below), whose sum is σ = 9727699789056. Its totient is φ = 7599765459600.

The previous prime is 8638400072663. The next prime is 8638400072761. The reversal of 8638400072753 is 3572700048368.

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 8638400072753 - 2³⁰ = 8637326330929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8638400072695 and 8638400072704.

It is not an unprimeable number, because it can be changed into a prime (8638400072773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12666275426 + ... + 12666276107.

It is an arithmetic number, because the mean of its divisors is an integer number (1215962473632).

Almost surely, 2^{8638400072753} is an apocalyptic number.

It is an amenable number.

8638400072753 is a deficient number, since it is larger than the sum of its proper divisors (1089299716303).

8638400072753 is a wasteful number, since it uses less digits than its factorization.

8638400072753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25332551575.

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 8638400072753 in words is "eight trillion, six hundred thirty-eight billion, four hundred million, seventy-two thousand, seven hundred fifty-three".