6378095053440 has 640 divisors, whose sum is σ = 24929617648320. Its totient is φ = 1541126062080.

The previous prime is 6378095053427. The next prime is 6378095053471. The reversal of 6378095053440 is 443505908736.

6378095053440 is a `hidden beast` number, since 6 + 37 + 80 + 95 + 0 + 5 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175045464 + ... + 175081896.

Almost surely, 2^{6378095053440} is an apocalyptic number.

6378095053440 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 6378095053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464808824160).

6378095053440 is an abundant number, since it is smaller than the sum of its proper divisors (18551522594880).

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

6378095053440 is a wasteful number, since it uses less digits than its factorization.

6378095053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36782 (or 36761 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 6378095053440 in words is "six trillion, three hundred seventy-eight billion, ninety-five million, fifty-three thousand, four hundred forty".