6858937749672 has 24 divisors (see below), whose sum is σ = 18576289738890. Its totient is φ = 2286312583200.

The previous prime is 6858937749661. The next prime is 6858937749841. The reversal of 6858937749672 is 2769477398586.

It is a happy number.

6858937749672 is a `hidden beast` number, since 6 + 8 + 58 + 9 + 3 + 7 + 7 + 496 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6319321158276 + 539616591396 = 2513826^2 + 734586^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×6858937749672² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6858937749591 and 6858937749600.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 47631512079 + ... + 47631512222.

Almost surely, 2^{6858937749672} is an apocalyptic number.

It is an amenable number.

6858937749672 is an abundant number, since it is smaller than the sum of its proper divisors (11717351989218).

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

6858937749672 is a wasteful number, since it uses less digits than its factorization.

6858937749672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95263024313 (or 95263024306 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 81.

The spelling of 6858937749672 in words is "six trillion, eight hundred fifty-eight billion, nine hundred thirty-seven million, seven hundred forty-nine thousand, six hundred seventy-two".