6384077797680 has 400 divisors, whose sum is σ = 24303256420608. Its totient is φ = 1540316736000.

The previous prime is 6384077797679. The next prime is 6384077797703. The reversal of 6384077797680 is 867977704836.

6384077797680 is a `hidden beast` number, since 6 + 3 + 8 + 407 + 7 + 79 + 76 + 80 = 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 = 6384077797599 and 6384077797608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14827845 + ... + 15252315.

Almost surely, 2^{6384077797680} is an apocalyptic number.

6384077797680 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 6384077797680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12151628210304).

6384077797680 is an abundant number, since it is smaller than the sum of its proper divisors (17919178622928).

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

6384077797680 is a wasteful number, since it uses less digits than its factorization.

6384077797680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424718 (or 424703 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 6384077797680 in words is "six trillion, three hundred eighty-four billion, seventy-seven million, seven hundred ninety-seven thousand, six hundred eighty".