6400368723840 has 2048 divisors, whose sum is σ = 26587658280960. Its totient is φ = 1274019840000.

The previous prime is 6400368723809. The next prime is 6400368723923. The reversal of 6400368723840 is 483278630046.

It is a super-2 number, since 2×6400368723840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42386547765 + ... + 42386547915.

It is an arithmetic number, because the mean of its divisors is an integer number (12982255020).

Almost surely, 2^{6400368723840} is an apocalyptic number.

6400368723840 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 6400368723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293829140480).

6400368723840 is an abundant number, since it is smaller than the sum of its proper divisors (20187289557120).

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

6400368723840 is a wasteful number, since it uses less digits than its factorization.

6400368723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 6400368723840 in words is "six trillion, four hundred billion, three hundred sixty-eight million, seven hundred twenty-three thousand, eight hundred forty".