6378301440 has 288 divisors, whose sum is σ = 25266608640. Its totient is φ = 1457750016.

The previous prime is 6378301439. The next prime is 6378301469. The reversal of 6378301440 is 441038736.

6378301440 is a `hidden beast` number, since 637 + 8 + 3 + 0 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6378301395 and 6378301404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640177 + ... + 650063.

It is an arithmetic number, because the mean of its divisors is an integer number (87731280).

Almost surely, 2^6378301440 is an apocalyptic number.

6378301440 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 6378301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12633304320).

6378301440 is an abundant number, since it is smaller than the sum of its proper divisors (18888307200).

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

6378301440 is a wasteful number, since it uses less digits than its factorization.

6378301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9927 (or 9904 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6378301440 is about 79864.2688566045. The cubic root of 6378301440 is about 1854.5349119669.

The spelling of 6378301440 in words is "six billion, three hundred seventy-eight million, three hundred one thousand, four hundred forty".