6294336945120 has 480 divisors, whose sum is σ = 25516100288448. Its totient is φ = 1431398449152.

The previous prime is 6294336945109. The next prime is 6294336945133. The reversal of 6294336945120 is 215496334926.

6294336945120 is a `hidden beast` number, since 6 + 2 + 9 + 4 + 3 + 36 + 94 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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, 17695744 + ... + 18047936.

Almost surely, 2^{6294336945120} is an apocalyptic number.

6294336945120 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 6294336945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12758050144224).

6294336945120 is an abundant number, since it is smaller than the sum of its proper divisors (19221763343328).

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

6294336945120 is a wasteful number, since it uses less digits than its factorization.

6294336945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352424 (or 352407 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 6294336945120 in words is "six trillion, two hundred ninety-four billion, three hundred thirty-six million, nine hundred forty-five thousand, one hundred twenty".