6823123006464 has 264 divisors, whose sum is σ = 20833219680000. Its totient is φ = 2147320627200.

The previous prime is 6823123006451. The next prime is 6823123006481. The reversal of 6823123006464 is 4646003213286.

6823123006464 is a `hidden beast` number, since 68 + 2 + 3 + 123 + 0 + 0 + 6 + 464 = 666.

It is a super-2 number, since 2×6823123006464² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11422287 + ... + 12004785.

Almost surely, 2^{6823123006464} is an apocalyptic number.

6823123006464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6823123006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416609840000).

6823123006464 is an abundant number, since it is smaller than the sum of its proper divisors (14010096673536).

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

6823123006464 is a wasteful number, since it uses less digits than its factorization.

6823123006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582597 (or 582576 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 6823123006464 in words is "six trillion, eight hundred twenty-three billion, one hundred twenty-three million, six thousand, four hundred sixty-four".