6368267796480 has 952 divisors, whose sum is σ = 23393883427488. Its totient is φ = 1662850695168.

The previous prime is 6368267796479. The next prime is 6368267796509. The reversal of 6368267796480 is 846977628636.

6368267796480 is a `hidden beast` number, since 6 + 3 + 6 + 82 + 67 + 7 + 9 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6368267796399 and 6368267796408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12660571909 + ... + 12660572411.

Almost surely, 2^{6368267796480} is an apocalyptic number.

6368267796480 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 6368267796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696941713744).

6368267796480 is an abundant number, since it is smaller than the sum of its proper divisors (17025615631008).

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

6368267796480 is an frugal number, since it uses more digits than its factorization.

6368267796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 6368267796480 in words is "six trillion, three hundred sixty-eight billion, two hundred sixty-seven million, seven hundred ninety-six thousand, four hundred eighty".