6306309678240 has 1536 divisors, whose sum is σ = 26427397893120. Its totient is φ = 1401740328960.

The previous prime is 6306309678197. The next prime is 6306309678259. The reversal of 6306309678240 is 428769036036.

6306309678240 is a `hidden beast` number, since 6 + 30 + 6 + 309 + 67 + 8 + 240 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 9657441754 + ... + 9657442406.

It is an arithmetic number, because the mean of its divisors is an integer number (17205337170).

Almost surely, 2^{6306309678240} is an apocalyptic number.

6306309678240 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 6306309678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213698946560).

6306309678240 is an abundant number, since it is smaller than the sum of its proper divisors (20121088214880).

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

6306309678240 is a wasteful number, since it uses less digits than its factorization.

6306309678240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 6306309678240 in words is "six trillion, three hundred six billion, three hundred nine million, six hundred seventy-eight thousand, two hundred forty".