6771231647400 has 768 divisors, whose sum is σ = 23711344876800. Its totient is φ = 1584267264000.

The previous prime is 6771231647387. The next prime is 6771231647429. The reversal of 6771231647400 is 47461321776.

It is a self number, because there is not a number n which added to its sum of digits gives 6771231647400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16555578396 + ... + 16555578804.

It is an arithmetic number, because the mean of its divisors is an integer number (30874146975).

Almost surely, 2^{6771231647400} is an apocalyptic number.

6771231647400 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 6771231647400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855672438400).

6771231647400 is an abundant number, since it is smaller than the sum of its proper divisors (16940113229400).

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

6771231647400 is a wasteful number, since it uses less digits than its factorization.

6771231647400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 6771231647400 in words is "six trillion, seven hundred seventy-one billion, two hundred thirty-one million, six hundred forty-seven thousand, four hundred".