6946414018560 has 840 divisors, whose sum is σ = 25613549987256. Its totient is φ = 1806560133120.

The previous prime is 6946414018541. The next prime is 6946414018613. The reversal of 6946414018560 is 658104146496.

6946414018560 is a `hidden beast` number, since 6 + 9 + 4 + 64 + 1 + 4 + 0 + 18 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 458838245376 + 6487575773184 = 677376^2 + 2547072^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6946414018497 and 6946414018506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2448505462 + ... + 2448508298.

Almost surely, 2^{6946414018560} is an apocalyptic number.

6946414018560 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 6946414018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806774993628).

6946414018560 is an abundant number, since it is smaller than the sum of its proper divisors (18667135968696).

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

6946414018560 is an frugal number, since it uses more digits than its factorization.

6946414018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6946414018560 in words is "six trillion, nine hundred forty-six billion, four hundred fourteen million, eighteen thousand, five hundred sixty".