6771421440 has 432 divisors, whose sum is σ = 27021810816. Its totient is φ = 1533542400.

The previous prime is 6771421429. The next prime is 6771421471. The reversal of 6771421440 is 441241776.

It is a happy number.

6771421440 is a `hidden beast` number, since 6 + 77 + 142 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6771421395 and 6771421404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10563520 + ... + 10564160.

It is an arithmetic number, because the mean of its divisors is an integer number (62550488).

Almost surely, 2^6771421440 is an apocalyptic number.

6771421440 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 6771421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510905408).

6771421440 is an abundant number, since it is smaller than the sum of its proper divisors (20250389376).

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

6771421440 is a wasteful number, since it uses less digits than its factorization.

6771421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6771421440 is about 82288.6470905920. The cubic root of 6771421440 is about 1891.8786728260.

The spelling of 6771421440 in words is "six billion, seven hundred seventy-one million, four hundred twenty-one thousand, four hundred forty".