6400828977840 has 960 divisors, whose sum is σ = 25374775910400. Its totient is φ = 1479127541760.

The previous prime is 6400828977839. The next prime is 6400828977859. The reversal of 6400828977840 is 487798280046.

6400828977840 is a `hidden beast` number, since 6 + 400 + 8 + 2 + 89 + 77 + 84 + 0 = 666.

It is a super-2 number, since 2×6400828977840² (a number of 26 digits) contains 22 as substring.

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, 1905574081 + ... + 1905577439.

It is an arithmetic number, because the mean of its divisors is an integer number (26432058240).

Almost surely, 2^{6400828977840} is an apocalyptic number.

6400828977840 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 6400828977840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687387955200).

6400828977840 is an abundant number, since it is smaller than the sum of its proper divisors (18973946932560).

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

6400828977840 is a wasteful number, since it uses less digits than its factorization.

6400828977840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 6400828977840 in words is "six trillion, four hundred billion, eight hundred twenty-eight million, nine hundred seventy-seven thousand, eight hundred forty".