6831901440 has 1080 divisors, whose sum is σ = 31259832240. Its totient is φ = 1365590016.

The previous prime is 6831901399. The next prime is 6831901441. The reversal of 6831901440 is 441091386.

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 = 6831901395 and 6831901404.

It is not an unprimeable number, because it can be changed into a prime (6831901441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 359573751 + ... + 359573769.

Almost surely, 2^6831901440 is an apocalyptic number.

6831901440 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 6831901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629916120).

6831901440 is an abundant number, since it is smaller than the sum of its proper divisors (24427930800).

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

6831901440 is a wasteful number, since it uses less digits than its factorization.

6831901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6831901440 is about 82655.3170703494. The cubic root of 6831901440 is about 1897.4945221087.

The spelling of 6831901440 in words is "six billion, eight hundred thirty-one million, nine hundred one thousand, four hundred forty".