6282747340704 has 288 divisors, whose sum is σ = 18600682726080. Its totient is φ = 2086083072000.

The previous prime is 6282747340669. The next prime is 6282747340721. The reversal of 6282747340704 is 4070437472826.

6282747340704 is a `hidden beast` number, since 6 + 28 + 274 + 7 + 340 + 7 + 0 + 4 = 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4306200327 + ... + 4306201785.

It is an arithmetic number, because the mean of its divisors is an integer number (64585703910).

Almost surely, 2^{6282747340704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6282747340704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300341363040).

6282747340704 is an abundant number, since it is smaller than the sum of its proper divisors (12317935385376).

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

6282747340704 is a wasteful number, since it uses less digits than its factorization.

6282747340704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 6282747340704 in words is "six trillion, two hundred eighty-two billion, seven hundred forty-seven million, three hundred forty thousand, seven hundred four".