6306894478080 has 864 divisors, whose sum is σ = 25202633025024. Its totient is φ = 1426392612864.

The previous prime is 6306894478037. The next prime is 6306894478111. The reversal of 6306894478080 is 808744986036.

6306894478080 is a `hidden beast` number, since 6 + 3 + 0 + 6 + 89 + 4 + 478 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 6306894477999 and 6306894478017.

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 95 ways as a sum of consecutive naturals, for example, 3378089307 + ... + 3378091173.

Almost surely, 2^{6306894478080} is an apocalyptic number.

6306894478080 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 6306894478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601316512512).

6306894478080 is an abundant number, since it is smaller than the sum of its proper divisors (18895738546944).

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

6306894478080 is a wasteful number, since it uses less digits than its factorization.

6306894478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 6306894478080 in words is "six trillion, three hundred six billion, eight hundred ninety-four million, four hundred seventy-eight thousand, eighty".