6347877258240 has 1232 divisors, whose sum is σ = 26281412693760. Its totient is φ = 1440438681600.

The previous prime is 6347877258209. The next prime is 6347877258241. The reversal of 6347877258240 is 428527787436.

6347877258240 is a `hidden beast` number, since 6 + 3 + 4 + 7 + 8 + 7 + 7 + 2 + 582 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6347877258241) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 3945230556 + ... + 3945232164.

Almost surely, 2^{6347877258240} is an apocalyptic number.

6347877258240 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 6347877258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140706346880).

6347877258240 is an abundant number, since it is smaller than the sum of its proper divisors (19933535435520).

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

6347877258240 is a wasteful number, since it uses less digits than its factorization.

6347877258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 6347877258240 in words is "six trillion, three hundred forty-seven billion, eight hundred seventy-seven million, two hundred fifty-eight thousand, two hundred forty".