6434348673753 has 64 divisors (see below), whose sum is σ = 12798704486400. Its totient is φ = 3085401948480.

The previous prime is 6434348673671. The next prime is 6434348673761. The reversal of 6434348673753 is 3573768434346.

6434348673753 is a `hidden beast` number, since 6 + 4 + 3 + 434 + 86 + 73 + 7 + 53 = 666.

It is not a de Polignac number, because 6434348673753 - 2¹⁰ = 6434348672729 is a prime.

It is a super-2 number, since 2×6434348673753² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6434348673763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119008543 + ... + 119062596.

It is an arithmetic number, because the mean of its divisors is an integer number (199979757600).

Almost surely, 2^{6434348673753} is an apocalyptic number.

6434348673753 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6434348673753 is a deficient number, since it is larger than the sum of its proper divisors (6364355812647).

6434348673753 is a wasteful number, since it uses less digits than its factorization.

6434348673753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238071179 (or 238071173 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 63.

The spelling of 6434348673753 in words is "six trillion, four hundred thirty-four billion, three hundred forty-eight million, six hundred seventy-three thousand, seven hundred fifty-three".