6861823928064 has 108 divisors (see below), whose sum is σ = 22610662927216. Its totient is φ = 1960521117696.

The previous prime is 6861823928021. The next prime is 6861823928077. The reversal of 6861823928064 is 4608293281686.

6861823928064 is a `hidden beast` number, since 6 + 8 + 6 + 182 + 392 + 8 + 0 + 64 = 666.

It is a super-3 number, since 3×6861823928064³ (a number of 39 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6861823927992 and 6861823928010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212714029 + ... + 212746284.

Almost surely, 2^{6861823928064} is an apocalyptic number.

6861823928064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6861823928064 is an abundant number, since it is smaller than the sum of its proper divisors (15748838999152).

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

6861823928064 is a wasteful number, since it uses less digits than its factorization.

6861823928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425460342 (or 425460325 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 6861823928064 in words is "six trillion, eight hundred sixty-one billion, eight hundred twenty-three million, nine hundred twenty-eight thousand, sixty-four".