6771916800 has 540 divisors, whose sum is σ = 26621483616. Its totient is φ = 1631846400.

The previous prime is 6771916783. The next prime is 6771916807. The reversal of 6771916800 is 86191776.

It is a super-2 number, since 2×6771916800² = 91717714292244480000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6771916807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40550317 + ... + 40550483.

Almost surely, 2^6771916800 is an apocalyptic number.

6771916800 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 6771916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310741808).

6771916800 is an abundant number, since it is smaller than the sum of its proper divisors (19849566816).

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

6771916800 is a wasteful number, since it uses less digits than its factorization.

6771916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 6771916800 is about 82291.6569282695. The cubic root of 6771916800 is about 1891.9248048519.

The spelling of 6771916800 in words is "six billion, seven hundred seventy-one million, nine hundred sixteen thousand, eight hundred".