6891320620800 has 1296 divisors, whose sum is σ = 30828189869568. Its totient is φ = 1426806374400.

The previous prime is 6891320620763. The next prime is 6891320620817. The reversal of 6891320620800 is 80260231986.

6891320620800 is a `hidden beast` number, since 6 + 8 + 9 + 13 + 2 + 0 + 620 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1299510949 + ... + 1299516251.

Almost surely, 2^{6891320620800} is an apocalyptic number.

6891320620800 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 6891320620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15414094934784).

6891320620800 is an abundant number, since it is smaller than the sum of its proper divisors (23936869248768).

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

6891320620800 is a wasteful number, since it uses less digits than its factorization.

6891320620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 6891320620800 in words is "six trillion, eight hundred ninety-one billion, three hundred twenty million, six hundred twenty thousand, eight hundred".