6861844454400 has 528 divisors, whose sum is σ = 27137005308000. Its totient is φ = 1689067192320.

The previous prime is 6861844454371. The next prime is 6861844454401. The reversal of 6861844454400 is 44544481686.

6861844454400 is a `hidden beast` number, since 6 + 8 + 6 + 184 + 4 + 4 + 54 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6861844454401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8603776 + ... + 9367424.

Almost surely, 2^{6861844454400} is an apocalyptic number.

6861844454400 is a gapful number since it is divisible by the number (60) 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 6861844454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568502654000).

6861844454400 is an abundant number, since it is smaller than the sum of its proper divisors (20275160853600).

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

6861844454400 is a wasteful number, since it uses less digits than its factorization.

6861844454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763701 (or 763672 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 6861844454400 in words is "six trillion, eight hundred sixty-one billion, eight hundred forty-four million, four hundred fifty-four thousand, four hundred".