6854388862464 has 960 divisors, whose sum is σ = 24090526107648. Its totient is φ = 1847726899200.

The previous prime is 6854388862459. The next prime is 6854388862511. The reversal of 6854388862464 is 4642688834586.

6854388862464 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 3 + 88 + 86 + 2 + 464 = 666.

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 = 6854388862392 and 6854388862401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6271169502 + ... + 6271170594.

Almost surely, 2^{6854388862464} is an apocalyptic number.

6854388862464 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 6854388862464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12045263053824).

6854388862464 is an abundant number, since it is smaller than the sum of its proper divisors (17236137245184).

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

6854388862464 is a wasteful number, since it uses less digits than its factorization.

6854388862464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1460 counting only the distinct ones).

The product of its digits is 1698693120, while the sum is 72.

The spelling of 6854388862464 in words is "six trillion, eight hundred fifty-four billion, three hundred eighty-eight million, eight hundred sixty-two thousand, four hundred sixty-four".