6801427776 has 448 divisors, whose sum is σ = 22350569472. Its totient is φ = 1797120000.

The previous prime is 6801427757. The next prime is 6801427781. The reversal of 6801427776 is 6777241086.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51919231 + ... + 51919361.

It is an arithmetic number, because the mean of its divisors is an integer number (49889664).

Almost surely, 2^6801427776 is an apocalyptic number.

6801427776 is a gapful number since it is divisible by the number (66) 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 6801427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11175284736).

6801427776 is an abundant number, since it is smaller than the sum of its proper divisors (15549141696).

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

6801427776 is a wasteful number, since it uses less digits than its factorization.

6801427776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 6801427776 is about 82470.7692215854. The cubic root of 6801427776 is about 1894.6690618430.

The spelling of 6801427776 in words is "six billion, eight hundred one million, four hundred twenty-seven thousand, seven hundred seventy-six".