6340381767720 has 4032 divisors, whose sum is σ = 30646111104000. Its totient is φ = 1176906931200.

The previous prime is 6340381767719. The next prime is 6340381767721. The reversal of 6340381767720 is 277671830436.

6340381767720 is a `hidden beast` number, since 6 + 3 + 403 + 81 + 76 + 77 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6340381767719) and next prime (6340381767721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6340381767721) by changing a digit.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 204528444105 + ... + 204528444135.

It is an arithmetic number, because the mean of its divisors is an integer number (7600722000).

Almost surely, 2^{6340381767720} is an apocalyptic number.

6340381767720 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 6340381767720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15323055552000).

6340381767720 is an abundant number, since it is smaller than the sum of its proper divisors (24305729336280).

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

6340381767720 is a wasteful number, since it uses less digits than its factorization.

6340381767720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 6340381767720 in words is "six trillion, three hundred forty billion, three hundred eighty-one million, seven hundred sixty-seven thousand, seven hundred twenty".