6446769315840 has 2016 divisors, whose sum is σ = 27859697798400. Its totient is φ = 1400020402176.

The previous prime is 6446769315809. The next prime is 6446769315913. The reversal of 6446769315840 is 485139676446.

6446769315840 is a `hidden beast` number, since 6 + 4 + 46 + 7 + 6 + 9 + 3 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×6446769315840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43266908086 + ... + 43266908234.

Almost surely, 2^{6446769315840} is an apocalyptic number.

6446769315840 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 6446769315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929848899200).

6446769315840 is an abundant number, since it is smaller than the sum of its proper divisors (21412928482560).

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

6446769315840 is an frugal number, since it uses more digits than its factorization.

6446769315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 6446769315840 in words is "six trillion, four hundred forty-six billion, seven hundred sixty-nine million, three hundred fifteen thousand, eight hundred forty".