6286930699968 has 672 divisors, whose sum is σ = 20799235008000. Its totient is φ = 1854781286400.

The previous prime is 6286930699967. The next prime is 6286930699993. The reversal of 6286930699968 is 8699960396826.

6286930699968 is a `hidden beast` number, since 62 + 86 + 9 + 306 + 99 + 96 + 8 = 666.

It is a super-3 number, since 3×6286930699968³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6286930699961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914991573 + ... + 914998443.

Almost surely, 2^{6286930699968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6286930699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399617504000).

6286930699968 is an abundant number, since it is smaller than the sum of its proper divisors (14512304308032).

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

6286930699968 is a wasteful number, since it uses less digits than its factorization.

6286930699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 3265173504, while the sum is 81.

The spelling of 6286930699968 in words is "six trillion, two hundred eighty-six billion, nine hundred thirty million, six hundred ninety-nine thousand, nine hundred sixty-eight".