6394512061440 has 264 divisors, whose sum is σ = 23460162864840. Its totient is φ = 1604896948224.

The previous prime is 6394512061381. The next prime is 6394512061451. The reversal of 6394512061440 is 441602154936.

6394512061440 is a `hidden beast` number, since 6 + 3 + 9 + 4 + 5 + 1 + 20 + 614 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2701473555456 + 3693038505984 = 1643616^2 + 1921728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 3298105 + ... + 4864824.

Almost surely, 2^{6394512061440} is an apocalyptic number.

6394512061440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6394512061440 is an abundant number, since it is smaller than the sum of its proper divisors (17065650803400).

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

6394512061440 is a wasteful number, since it uses less digits than its factorization.

6394512061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162977 (or 8162956 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 6394512061440 in words is "six trillion, three hundred ninety-four billion, five hundred twelve million, sixty-one thousand, four hundred forty".