6390366877440 has 2268 divisors, whose sum is σ = 28943336555784. Its totient is φ = 1346666840064.

The previous prime is 6390366877387. The next prime is 6390366877451. The reversal of 6390366877440 is 447786630936.

6390366877440 is a `hidden beast` number, since 6 + 3 + 90 + 36 + 6 + 8 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 7727166307 + ... + 7727167133.

It is an arithmetic number, because the mean of its divisors is an integer number (12761612238).

Almost surely, 2^{6390366877440} is an apocalyptic number.

6390366877440 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 6390366877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471668277892).

6390366877440 is an abundant number, since it is smaller than the sum of its proper divisors (22552969678344).

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

6390366877440 is an equidigital number, since it uses as much as digits as its factorization.

6390366877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 6390366877440 in words is "six trillion, three hundred ninety billion, three hundred sixty-six million, eight hundred seventy-seven thousand, four hundred forty".