6831403488000 has 4608 divisors, whose sum is σ = 34712810496000. Its totient is φ = 1280389939200.

The previous prime is 6831403487971. The next prime is 6831403488053. The reversal of 6831403488000 is 8843041386.

It is a super-2 number, since 2×6831403488000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 25395551866 + ... + 25395552134.

It is an arithmetic number, because the mean of its divisors is an integer number (7533162000).

Almost surely, 2^{6831403488000} is an apocalyptic number.

6831403488000 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 6831403488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356405248000).

6831403488000 is an abundant number, since it is smaller than the sum of its proper divisors (27881407008000).

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

6831403488000 is a wasteful number, since it uses less digits than its factorization.

6831403488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 6831403488000 in words is "six trillion, eight hundred thirty-one billion, four hundred three million, four hundred eighty-eight thousand".