6787340433600 has 336 divisors, whose sum is σ = 23015281213440. Its totient is φ = 1749375590400.

The previous prime is 6787340433571. The next prime is 6787340433613. The reversal of 6787340433600 is 63340437876.

It is a happy number.

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, 120351009 + ... + 120407391.

Almost surely, 2^{6787340433600} is an apocalyptic number.

6787340433600 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 6787340433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11507640606720).

6787340433600 is an abundant number, since it is smaller than the sum of its proper divisors (16227940779840).

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

6787340433600 is a wasteful number, since it uses less digits than its factorization.

6787340433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57248 (or 57233 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 6787340433600 in words is "six trillion, seven hundred eighty-seven billion, three hundred forty million, four hundred thirty-three thousand, six hundred".