6996570304680 has 576 divisors, whose sum is σ = 25971821890560. Its totient is φ = 1630506240000.

The previous prime is 6996570304679. The next prime is 6996570304721. The reversal of 6996570304680 is 864030756996.

6996570304680 is a `hidden beast` number, since 6 + 9 + 96 + 57 + 0 + 30 + 468 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203887204 + ... + 203921516.

It is an arithmetic number, because the mean of its divisors is an integer number (45089968560).

Almost surely, 2^{6996570304680} is an apocalyptic number.

6996570304680 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 6996570304680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985910945280).

6996570304680 is an abundant number, since it is smaller than the sum of its proper divisors (18975251585880).

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

6996570304680 is a wasteful number, since it uses less digits than its factorization.

6996570304680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34534 (or 34516 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 6996570304680 in words is "six trillion, nine hundred ninety-six billion, five hundred seventy million, three hundred four thousand, six hundred eighty".