6936367258368 has 216 divisors, whose sum is σ = 20994311869440. Its totient is φ = 2199612119040.

The previous prime is 6936367258363. The next prime is 6936367258409. The reversal of 6936367258368 is 8638527636396.

6936367258368 is a `hidden beast` number, since 6 + 9 + 3 + 6 + 3 + 6 + 7 + 258 + 368 = 666.

It is a super-2 number, since 2×6936367258368² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6936367258296 and 6936367258305.

It is not an unprimeable number, because it can be changed into a prime (6936367258363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3391005 + ... + 5037027.

Almost surely, 2^{6936367258368} 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 6936367258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497155934720).

6936367258368 is an abundant number, since it is smaller than the sum of its proper divisors (14057944611072).

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

6936367258368 is a wasteful number, since it uses less digits than its factorization.

6936367258368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646135 (or 1646118 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 6936367258368 in words is "six trillion, nine hundred thirty-six billion, three hundred sixty-seven million, two hundred fifty-eight thousand, three hundred sixty-eight".