6578196468480 has 4608 divisors, whose sum is σ = 32438181888000. Its totient is φ = 1264146186240.

The previous prime is 6578196468479. The next prime is 6578196468523. The reversal of 6578196468480 is 848646918756.

6578196468480 is a `hidden beast` number, since 6 + 5 + 7 + 81 + 9 + 6 + 4 + 68 + 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 = 6578196468399 and 6578196468408.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 212199886065 + ... + 212199886095.

It is an arithmetic number, because the mean of its divisors is an integer number (7039536000).

Almost surely, 2^{6578196468480} is an apocalyptic number.

6578196468480 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 6578196468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219090944000).

6578196468480 is an abundant number, since it is smaller than the sum of its proper divisors (25859985419520).

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

6578196468480 is an equidigital number, since it uses as much as digits as its factorization.

6578196468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 6578196468480 in words is "six trillion, five hundred seventy-eight billion, one hundred ninety-six million, four hundred sixty-eight thousand, four hundred eighty".